# Hello, I would appreciate it if... 1. If you could give me information on finding the area of a circle inscribed in an equilateral triangle. 2. This problem: A running track is shaped like a rectangle with a semicircle on

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1. ### Geometry/Trig

Hello, I would appreciate it if... 1. If you could give me information on finding the area of a circle inscribed in an equilateral triangle. 2. This problem: A running track is shaped like a rectangle with a semicircle on each of the shorter sides. The distance around the ...
2. ### calculus

There is a shape first a regular triangle inscribed in a circle, and inscribed in a square, inscribed in a circle, inscribed in a pentagon, etc. so polygon circle polygon circle, etc. the radius of the first circle is 1, find an equation for radius n. number 2:give an argument...
3. ### Math

An equilateral triangle is inscribed in a circle. Each side of the triangle has length x. What is the area of the circle? Please help
4. ### geometry

Theres a circle with an equilateral triangle in the middle. The traingles edges all touch the circle. The radius of the circle is 8 meters. How do I find the area of the triangle? Sorry The triangles edges don't touch the circle, the points do. Did you mean the vertices of the...

An equilateral triangle is inscribed in a circle with a radius of 6". Find the area of the segment cut off by one side of the triangle.
6. ### Geometry

A circle has a radius of 6 in. The inscribed equilateral triangle will have an area of: ?
7. ### Math geometry

1) The base angles of an isosceles triangle are (50-x)^6 and (30x-12)^6 what is the vertex angle? 2) The area of a trapezoid is 52cm^2 if it's bases are 8 cm apart find the sum of their heights 3) What is the area of a circle inscribed inside an equilateral triangle whose area...
8. ### geometry

The radius of the inscribed circle is equal to twice the area of the triangle divided by the perimeter of the triangle. Prove that this relationship is true for the inscribed circle in any right triangle.
9. ### Math

An equilateral triangle s divided into 4 congruent equilateral triangles. What method can be used to find the area of the larger equilaterl triangle give the area of one of the smaller triangles? F. Multiply the area of the larger equilateral triangle by 4 G. Multiply the area...
10. ### Algebra 2

an equilateral triangle has an inscribed circle with a radius of sqrt b+27 ft. if the area of the triangle is 48*sqrt b+6 feet squared. what are the two possible value of perimeter for this triangle?
11. ### math

Prove that if a triangle is inscribed in a circle,the sides of a triangle are equidistant from the centre of the circle then the triangle is equilateral
12. ### Geometry

Can anybody help me with this word problem? A homeowner, who loves math, decides to make a garden/patio area in the following way. She decides to make the gardening area, where she will plant roses bushes in the shape of an equilateral triangle having a side length of 10 feet...
13. ### math

An equilateral triangle is inscribed in a circle. The radius of the circle is 21 in. Determine the side length of the triangle to the nearest 10th of an inch
14. ### geometry

An Equilateral triangle (ABC) is inscribed inside a circle. The side lengths of the triangle are 8 cm. What is the radius of the circle?
15. ### Math

An equilateral triangle is inscribed in a circle. If the radius of the circle is 10 cm, calculate the length of a side of the triangle. Answer to nearest whole centimetre
16. ### math

The first term of a an infinite sequence is an equilateral triangle inscribed in a circle. The triangle has side n. Each new polygon in the sequence is formed by replacing the middle third of each side by two segments that have the same length as each third. As n, increases ...
17. ### geometry

Open that link please please help me with my assignments 1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 respectively. find the area of triangle aef 2. equialateral triangle abc has an area of square root of 3 and side of length 2. point...
18. ### math

A circle is inscribed in triangle ABC with sides a, b, c. Tangents to the circle parallel to the sides of the triangle are constructed. Each of these tangents cuts off a triangle from ∆ABC. In each of these triangles, a circle is inscribed. Find the sum of the areas of ...
19. ### Government senior college ikoyi

An equilateral triangle of side 20cm is inscribed in a circle.calculate the distances of a side of the triangle from the centre of the circle.
20. ### maths

an equilateral triangle is inscribed in a circle of radius 40cm. what is the length of the sides of the triangle
21. ### geometry

an equilateral triangle of side 20cm is inscribed in a circle.calculate the distance of a side of the triangle from th centre of the circle.
22. ### Math

An Equilateral Triangle Of Side 20cm Is Inscribed In A Circle.Calculate The Distance Of A Side Of The Triangle From the Centre Of The Circle.
23. ### Maths

Equilateral triangle ABC is inscribed in circle O, whose radius is 4. Altitude BD is extended until it intersects the circle at E. What is the length of DE? a) √3 b) 2√3 c) 2 d) 4√3
24. ### Math

If a circle is inscribed in a triangle with vertex angles 30o - 60o - 90o , then what is the area of the triangle divided by the area of the circle?
25. ### circle inscribed

--------------- QUESTION FOLLOWS -------------------------- Can someone Please help I definitely do not know how to do this. A)Find x, to find x you need to add the arc measures together and set the expression equal to the total degrees of circle then solve for X, must show ...
26. ### geo

a graphic artist is using a coordinate plane to design a company logo. the log has an equilateral triangle inscribed in a circle.. The lies in quadrant 1, is tangent to the x and y axis and has a radius of 10 units. one side of the triangle is parallel to the y axis and one ...
27. ### GEOMETRY CIRCLE

1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such that pq is tangent to both circles. Given ...
28. ### Circumcenter of Triangle in circle

Equilateral triangle ABC and a circle with center O are constructed such that BC is a chord of the circle and point A is the circumcenter of BCO in its interior. If the area of circle with center O is 48pi, then what is the area of triangle ABC? How to do this? I don't ...
29. ### geometry

The perimeter of a triangle, its area, and the radius of the circle inscribed in the triangle are related in an interesting way. Prove that the radius of the circle times the perimeter of the triangle equals twice the area of the triangle.

1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such that pq is tangent to both circles. Given ...
31. ### Analytic Geometry

A circle at the origin whose is 2 units is 2 is inscribed in a right triangle whose base is 8 units and altitude 6 units. Find a) The equation of the circle b)The area and circumference of the circle c)The area of the right triangle exluding the area covered by the circle
32. ### Urgent CALCULUS

So, I haven't posted in a while...but now I am stummped! Only question I can't get today! A team of students seeks to make a flag representing their commitment to the earth. They will be using a green triangle inscribed in a yellow semi-circle. Find the maximum area of the ...

(imageshack)(.)us(/)photo (/) my-images (/)42(/)2vja. jpg(/) Open that link please , just delete the parentheses please please help me with my assignments I beg you cooperate with me huhu 1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 ...
34. ### science

three point electric charges q,2q,4q are placed at the three vertices of an equilateral triangle inscribed in a circle. find the net elect ric field at the centre of the triangle. answer : I think the answer is( 9×10^9 ×q√10)/r^2 ,where r is the radius of circle

imageshack(.)(us)/photo/my-images/42/2vja.jpg/ Open that link please , just delete the parentheses please please help me with my assignments I beg you cooperate with me huhu 1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 respectively. ...
36. ### GEOMETRY

Here are the figures. file:///C:/Users/ALIZAJOY/Pictures/Untitled.png Open that link please please help me with my assignments 1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 respectively. find the area of triangle aef 2. equialateral ...
37. ### Calculus - urgent

An isosceles triangle is inscribed in a circle of fixed radius R and centre O. What is the minimum area of the region outside the triangle and inside the circle?
38. ### geometry

(imageshack)123 (.)us(/)photo 123 (/) my-images 123 (/)42(/) 123 2vja. jpg(/)123 Open that link please , just delete the parentheses and spaces and 123's please please help me with my assignments I beg you cooperate with me huhu 1. in the figure , the areas of traingle cef, ...

HELP ME PLEASE. 1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such that pq is tangent to both ...
40. ### MATH

Given a circle with an inscribed equilateral triangle with each side of the triangle having a measurement of 18cm. What is the probability of selecting a point at random inside the triangle, assuming that the point cannot lie outside the circular region? Leave your answer in ...
41. ### GEOMETRY CIRCLES

1. Ab is a chord of a circle with center o and radius 52 cm . point m divides the chord ab such that am = 63 cm and mb=33 cm find om 2. A circle is inscribed in a triangle whose sides are 10, 10 and 12 units . a second smaller circle is inscribed tangent to the first circle ...
42. ### Geometry about the circles

1. Ab is a chord of a circle with center o and radius 52 cm . point m divides the chord ab such that am = 63 cm and mb=33 cm find om 2. A circle is inscribed in a triangle whose sides are 10, 10 and 12 units . a second smaller circle is inscribed tangent to the first circle ...
43. ### Geometry about the circles

1. Ab is a chord of a circle with center o and radius 52 cm . point m divides the chord ab such that am = 63 cm and mb=33 cm find om 2. A circle is inscribed in a triangle whose sides are 10, 10 and 12 units . a second smaller circle is inscribed tangent to the first circle ...
44. ### geometry ratio

5. find the ratio between the area of a square inscribed in a circle and an equilateral circumscribed about the same circle.
45. ### geometry ratio

5. find the ratio between the area of a square inscribed in a circle and an equilateral circumscribed about the same circle.
46. ### Math- HELP

There is a triangle inside of a circle. I have to find area of the shaded region which is the circle. So i would have to substract the area of the triangle from the area of the circle. the radius of the circle is 3 inches. I found the area of the circle..it is 28.27 in.^2 I am...
47. ### math

The points P (2, −1), Q (−4, −1) and R (−1, 3√3 − 1) are joined to form a triangle. Prove that triangle PQR is equilateral. I get that you use the distance formula to find the distance between these three points, which will prove that PQR is equilateral. I have ...
48. ### geometry

a circle is inscribed in an equilateral triangle. how do you find the value of x? also have to round the answer to the nearest whole number.
49. ### Math

An oblique triangle is inscribed in a circle. If one side of the triangle having a length of 10 cm and the angle subtended to that side is 20. Determine the area of the circle.
50. ### MATH

A TRIANGLE IS INSCRIBED IN A CIRCLE SUCH THAT ONE OF ITS SIDES IS A DIAMETER OF THE CIRCLE.IF THE RADIUS OF THE CIRCLE IS 30.5 CM AND ONE OF THE SIDES IS 60 CM, FIND THE AREA OF THE TRIANGLE?
51. ### Geometry

The height of an isosceles triangle is 4r. The radius of an inscribed circle is r. What is the area of the triangle?
52. ### maths

A triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of a radius 3.what is the area of the triangle?
53. ### calculus

The base of a solid is a circle of radius = 4 Find the exact volume of this solid if the cross sections perpendicular to a given axis are equilateral right triangles. The equation of the circle is: x^2 + y^2 = 16 I have the area of the triangle (1/2bh) to be equal to 2sqrt(12...
54. ### math

In an isosceles triangle ABC in which AB=AC=6cm is inscribed in a circle of radius 9cm .find the area of triangle
55. ### Math

Which triangle is NOT possible to construct? Answers: A. A right isosceles triangle B. An acute equilateral triangle C. An Obtuse scalene triangle D. A right equilateral triangle My Answer: C. An Obtuse scalene triangle :) Thank you to anyone who helps. I appreciate it tons...
56. ### Geometry

If a circle with center O has equilateral triangle AOB inscribed with sides 10 inches long. If OC is perpendicular to AB at P, what is the length of AP in inches?
57. ### math

The figure above consists of two equilateral triangles, one of which is inside the other. If the unshaded region within the larger triangle makes up 8/9 of that triangle's area, what is the ratio of the perimeter of the larger triangle to the perimeter of the smaller triangle...
58. ### maths

An equilateral triangle is inscribed in parabola y^2=4axsuch that the vertex of the triangle is at vertex of parabola find area of triangle
59. ### math

An isoscelless triangle of sides of 13cm, 13cm, 10cm is inscribed in a circle is inscribed in a circle. What is the radius of the circle?
60. ### Trig. Math

A circle of radius 2 inscribed in a right triangle. Find the simplest expression possible for the triangle's area as a function of its hypotenuse.
61. ### Geometry

Circle O is inscribed is square ABCD, and at the same time, is circumscribed about square PQRS. WHich are is the smaller area, the region inside the inscribed circle minus the area of square PQRS or the are inside square ABCD minus the area of the inscribed circle? The length ...
62. ### circle geometry triangles

how do u construct a circle that is circumscribed of a triangle? how do u constuct a circle that is inscribed in a triangle? i am a bit confused and I have finals next week!

Ahhh... thank you "A square and an equilateral triangle have the same perimeter. Let A be the area of the circle circumscribed about the square and B be the area of the circle circumscribed about the triangle. Find A/B." It's a tough one.
64. ### Algebra

1) A corner lot that originally was square lost 185m^2 of area when one of the adjacent streets was widened by 3 m and the other was widened by 5 m. Find the new dimensions of the lot. (Hint: Let x = the lenght of a side of the original square lot. ) 2) A running track 4 m ...
65. ### Maths

One of the formulas to find the area of a triangle is a = r*s. Where the r is the radius of the circle inscribed the triangle, and s being the semi perimeter. (s = p/2) Prove that the same formula works for a square.
66. ### Physics

An equilateral triangle initially has side length equal to 17 cm. Each vertex begins moving in a straight line towards the midpoint of the opposite side at a constant rate of 2.3 cm/s, continuously forming progressively smaller equilateral triangles until it disappears. At ...
67. ### maths

1.how many non congruent right triangles with positive integer leg lengths have areas that are numerically equal to 3 times their perimeters? 2.a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius 3.what is the area of the triangle? 3.what is the ...
68. ### math

tiangle pqr is an equilateral triangle in a circle. the height of the triangle is 18 cm. the diameter of the circle is 24 cm. find the perimeter of the triangle. can you help me solve this question?
69. ### math

can someone help me in finding the process in finding the area for a triangle, trapezoid, circle and rectangle
70. ### Algebra

The perimeter of an equilateral triangle is 7 in. more than the perimeter of a square. The side of the triangle is 5 in. longer than the side of the square. Find the length of each side of the triangle. (Note: An equilateral triangle has all sides equal) Please help! Let x be ...
71. ### math (pre clac)

so its this picture of a rectangle inscribed in a circle. the circle has a radius of 2. the vertexes of the circle are present in every quadrant, but you cant tell exactly whgat point they represent. point Q (x,y) is the vertex of the rectangle in Quadrant I and is on the ...
72. ### Algebra 2

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the sum of a finite geometric series. The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another...
73. ### Geometry

My class is learning about the areas of regular polygons and circles and I'm so confused. How are you supposed to figue out the area a regular triangle inscribed in a circle when all you know is that the radius of the circle is 1.5?
74. ### math

A square is inscribed inside a circle with radius r cm. a) Express the edge length of the square in terms of r and so find the area of the square in terms of r. Using side, 's' would make it much easier, but the question asks for me to find the area of the inscribed square ...
75. ### math

A circle is circumscribed about an equilateral triangle with side lengths of 9 units each. What is the area of the circle, in square units? Express your answer in terms of pi.
76. ### mathematics

if a circle has a radius of 6 inches,what will the area of the circumscribed equilateral triangle be?
77. ### Geometry

what is the area of an equilateral triangle circumscribing a circle of radius 6cm.
78. ### Solid Mensuration

The area of a regular hexagon inscribed in a circle is equal to 166.28 square cm. If the circle is inscribed in a square, find the difference between the area of the square and the hexagon.
79. ### Pre Calculus/Trig

find the area of a circle inscribed in triangle ABC where a=9, b=13, and the measure of angle C=38 degrees
80. ### MATH

Which triangle is not possible to construct? A a right isosceles triangle B an acute equilateral triangle C an obtuse scalene triangle D a right equilateral triangle Would it be A
81. ### Geometry

A circle has a radius of 6 inches. The circumscribed equilateral triangle will have an area of:?
82. ### maths

Triangle ABC has area [ABC]=468. D,E and F are the midpoints of BC,CA and AB, respectively. Points P,Q and R are defined such that P is the incenter of AEF, Q is the incenter of BFD, and R is the incenter of CDE. What is [DREPFQ]? Details and assumptions [PQRS] denotes the ...
83. ### math

I am supposed to find the area of a segment of a circle. The circle is cut with two radi with an angle of 90 degrees. Then where the radi touch the circle another line is drawn to connect them. The triangle and the small section between the triangle and the edge of the circle ...
84. ### math

I am supposed to find the area of a segment of a circle. The circle is cut with two radi with an angle of 90 degrees. Then where the radi touch the circle another line is drawn to connect them. The triangle and the small section between the triangle and the edge of the circle ...
85. ### math

the area of an equilateral triangle is given by the expression s^2 x square root of 3/4, where s is the side length of the triangle. what is the area of the triangle? round to the nearest tenth the triangle is 5 cm on all three sides.
86. ### maths

A circle has a circumference of 1 Cm and an equilateral triangle has sides each 1 Cm long. How many complete turns of the circle will it take to go around the triangle to its original starting position.
87. ### geometry

what would be the radius of a circle that can be inscribed in a triangle with sides of 35, 29 and 64?
88. ### math

my daughter is working on calculating how many triangles point up in equilateral triangle. This is her bonus question: solve this problem for an equilateral triangle with sides measuring n units each. I'm lost, help.
89. ### Calculus

Show that the rectangle with the largest area that is inscribed within a circle of radius r is a square. Find the dimensions and the area of the inscribed square. My respect goes to those who know how to tackle this one.
90. ### geometry

A 30-60-90 triangle is inscribed in a circle. The length of the hypotenuse is 12 inches. If a coin is tossed on the figure, what is the probability that the coin will land in the circle, but outside the triangle?
91. ### geometry

A 30-60-90 triangle is inscribed in a circle. The length of the hypotenuse is 12 inches. If a coin is tossed on the figure, what is the probability that the coin will land in the circle, but outside the triangle?
92. ### maths

The measure of the side of an equilateral triangle is 6cm. Then area of circle touching all three sides of given triangle is ------cm2 (a) pie (b) 3 pie (c) 12 pie (d) 36pie
93. ### geometry

Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long.
94. ### math

if the area of the square inscribed in a semicircle is 2cm^2,find the area of the square inscribed in a full circle
95. ### Math

If area of a square inscribed in a semi circle is 2 square centimeter. Fine the are of the square inscribed in a full circle
96. ### math

the area of a circle inscribed in the triangle formed by the line with equation x+y=1 and the two coordinate axes can be written in the form pi(a+b(sqr.c)/d) compute the value of a+b+c+d
97. ### Math

A mechanical engineering student wishes to inscribe a rectangle in a quarter circle of radius 2.00 cm. Determine the dimensions of the rectangle that will give it the greatest area. length in cm = height in cm = My attempt on find the relationship between the rectangle and the...
98. ### Math

What is the number of different squares which can be inscribed in a given equilateral triangle?
99. ### Math

What is the number of different squares which can be inscribed in a given equilateral triangle?
100. ### Math

What is the number of different squares which can be inscribed in a given equilateral triangle?