solid mensuration

posted by .

A circle has an area equal to 25 pi sq.cm. Its diameter AB coincides with one of the sides of triangle ACB in which the vertex C lies on the circle. If the triangle has an area equal to 11 sq.cm, find its perimeter.

• solid mensuration -

The circle radius is 5 cm. That comes from the area.
The triangle ACB is a right triangle with AB as a diameter. The length of AB is 10 cm, since it is a diameter
(AC)^2 + (BC)^2 = (AB)^2 = 100
Area = (1/2)(AB)*(BC) = 11
(AC)*(BC) = 22
(BC)=22/(AC)
(AC)^2 + 484/(AC)^2 = 100
Solve for AC. The short side is about 2.3. Then get BC and the perimenter.
Then get BC

Similar Questions

1. 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?
2. 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?
3. solid mensuration

Find the area of a cyclic quadrilateral whose 2 sides measure 4 & 5 units, & whose diagonal coincides with a diameter of the circle. Suppose the radius of the circumscribing circle is 2 sq.root of 3 units. Please include solution. …
4. math

A triangle has an area of 15 cm^2 and a base of 5 cm. If a circle is drawn with a diameter equal to the length of the triangle's height, what is the area of the circle ?
5. 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?
6. 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 …
7. Solid Mensuration

Find the lengths of the sides of the cylcic quadrilateral if one diagonal coincides with a diameter of a circle whose area is 36pi cm squared. The other diagonal measures 8 cm meets the fist diagonal at right angles.
8. Solid Mensuration

one diagonal of a cyclic quadrilateral coincides with a diameter of a circle whose area is 36pi cm^2. If the other diagonal which measures 8cm meets the first diagonal at right angles, find the area of quadrilateral. Show your solutions
9. Solid Mensuration

one diagonal of a cyclic quadrilateral coincides with a diameter of a circle whose area is 36pi cm^2. If the other diagonal which measures 8cm meets the first diagonal at right angles, find the area of quadrilateral. Show your solutions
10. trigonometry

a triangle has sides equal to 68 cm, 77 cm and 75 cm, respectively. find the area of the escribed circle tangent to the shortest side of the triangle.

More Similar Questions