# A sector of a circle has a radius 5cm The area of the sector is 5π Work out the arc length

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### Math

A sector of a circle has a radius 5cm The area of the sector is 5π Work out the arc length

### math

An arc AB of length 5cm is marked an a circle of radius 3cm. Find the area of the sector bounded by this arc and the radii from A and B.

### math

area of a sector of a circle of radius 36 cm is 54 pie cm square . find the length of the corresponding arc of the sector

### Geometry

The circumference of a circle is 20 pi cm. Find diameter, radius, and area of the disk, the length of an arc of 90 angle and area of a 90 angle sector. Answer in terms of pi. d= ___ r= _____, disk area= _______ arc length =______, sector area =________

### TRIG HELP ASAP

I really need help on this problem. A sector has area of 15 in^2 and central angle of 0.2 radians. Find the radius of the circle and arc length of the sector

### math

ABC is a sector of a circle with radius R cm and centered at C. The arc DE lies on a circle also centered at C.If the arc DE divides the sector ABC into two regions of equal area. Find the length of the interval CD in terms of R.

### geometry

FIND THE LENGTH OF THE RADIUS OF THE CIRCLE IS 9cm. THE ARC OF THE SECTOR MEASURES 60 DEGREES. FIND THE AREA OF THE SECTOR.

### Geometry

The measure of the central angle of a sector of a circle is 90degrees. The arc length of the sector is 3(pie) cm. What is the radius of the circle?

### Mathematics

Mathematics: A chord of radius 12cm subtends an angle of 150 degree at the centre of the circle. Calculate. A. Perimeter of the circle (Ps) B. Area of the circle. (Account) C. Length of the circle (Lc) D. Length of the arc (Last) E. Perimeter of sector (Ps) F. Area of sector (...

### trigonometry

please check my answers. 1.Find the area of the sector of a circle. r=11.8cm, theta-pi/7 radians I got 31.2cmsquared 2.Find the radius of a circle in which a central angle of pi/6radian determines a sector of area 76square meters. I got 17.03m 3.Find the measure(in radians) of...

### math

An angle of 1.8 radians at the center of the circle subtends an arc of length 23.4cm. Find: (a) The radius of the circle (b) The area of the sector enclosed by the arc and the radii.

### math

a circle with center o has radius of 5cm and angle of 60 degrees. find the area of the minor sector find the area of angle aob find the area of the minor segment find the length of the arc minor arc i found the area which is 78.54cm pi =3.14

### maths-urgently

An arc of a circle is of length 5p cm and the sector is bounds has an area of 20p cm^2 find the radius of the circle.

### maths --plse help me..

Find the area of the sector of a circle of radius 7cm if the corresponding arc length is 6.2cm

### Calculus1

The radius of a sector of a circle is increasing at a rate of 3 cm/sec while the area is decreasing at a rate of 1 cm2/sec. At what rate is the angle of the sector changing when the area is 20 cm2 and the radius os 5cm?

### Mathmatics

A sector of a circle of radius 9 cm subtends angle 120 at center of the circle find the area of the sector to the nearest cm

### Math

A circular sector has an 6.26-inch radius and a 10.84-inch arc length. There is another sector that has the same area and the same perimeter. What are its measurements?

### math

A sector of a circle subtending an angle 300 degrees at the centre is used to form a cone with base radius 6cm. Find the (a.)radius of the circle (b.)volume of the cone (c.)area of the minor sector of the circle

### trigonometry

A sector AOB of a circle, centre O, radius r cm, where the acute angle AOB is theta radians. Given that the perimeter of the sector is 14 cm and that the area of the sector is 10 cm^2, evaluate r and theta.

### Maths

The angle of a sector of a circle with radius 42cm is 120 degree.if the sector is cut out and used to make a cone,what is the curved surface area of the cone?

### maths geomentry help!!!

the area of a sector PQR is a @rad.and the radius of the of the circle is rcm,the area of the sector is 20cm^2 and the perimeter is 26cm.find r?

### can xome1 help me plzz im stuck

HELP PLZZ...A circle has radius 2 cm,(in that circle there is a traingle ABO) O is the centre of the circle. the chord AB has length 3 cm. . BO is 2cm AO is 2cm (i) Show that ÚAOB is 1.696 radians (to three decimal places). (ii) Hence ﬁnd the area of the (smaller) ...

### math

ABC is a sector of a circle with radius R and center C. The arc DE lies on a circle also centred at C. If DE divides ABC into two regions of equal area, find the length of CD in terms of R

### math

A sector in a circle of radius 8.1 m has an area of 53.5 m^2. The central angle in a sector must be _____o. Round to one decimal place.

### geometry

Γ is a circle with radius 10 and center O. A and B are points on Γ such that the arc length ABˆ=13. What is the area of sector AOB?

### Math

Find the area of the sector of the disk of radius r=15 ft and with arc length s=13 ft. When I did it it came out to .8666667, is that right or do I have to do 1/(13)(15) to get 1.15384571.

### trig

In a circle of radius 12 inches, a sector is formed by a central angle of pie/4 radians. Find the area of the sector to the nearest hundredth of a square inch.

### How do i do this maths question??

A sector of a circle with radius r cm contains an angle of θ radians between the bounding radii. Given that the perimeter of the sector is 7cm, express θ in terms of r and show that the area is r/2(7-2r)cm square. Hence, find the maximum area of this sector as r ...

### trig

a. A sector that has been cut out of circular plastic sheet which has a circumference of 12.31 m. If the central angle of the sector is 1/4 of a revolution, find the area of the sector.

### geometry

I have a circle with a radius of 20in. Arc mEGF = 235(not shaded part of circle) find the area of arc EF (shaded sector of circle). My answer was 82.3 in^2 correct answer is 436.3 in^2 I need disrection on this one- I was really off on my answer.

### algebra 2

find the area of the sector of the disk of radius r=16 and with arc length s=16

### geometry

11. Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height. (a) Show that the volume of the cone produced by the 180-degree sector is larger than the ...

### Geometry

Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height. (a) Show that the volume of the cone produced by the 180-degree sector is larger than the volume ...

### Algebra 2

If the arc length of a sector in the unit circle is 3π/2 what is the measure of the angle of the sector? 0 radians π/2 radians <my choice π radians 3π/2 radians

### trig

An arc subtends an angle 15 degrees at the centre of the circle. If the radius is 4 centimetres, find the area of the sector?

### geometry

What is the area of the sector, in square units, determined by an arc with a measure 45° in a circle with radius 6? Round to the nearest tenth.

### maths

please can some one help me..? Part a - O is the centre of the circle, and P , Q are points on the circumference of the circle, with the angle POQ being a right angle. The radius of the circle is 3 cm. Choose the option that is the area of the smaller sector POQ, correct to 3 ...

### Math

An Arc of length 6 cm subtends a 80 degree angle in a circle. What is the radius of the circle? Also what is the area of that sector? What I have so far: S=R*80 degree S= R*4pi/9 6 cm= r* 4pi/9 R=6/4pi/9 R= 6*9/4pi R=54/4pi HELP!

### precalc

Find the area of a sector and arc length whose central angle is 0.5 radians and a radius of 10 inches.

### pre-calc

Find an angle between 0 and 2ð that is coterminal with the given angle. -8pi/3 A sector of a circle has a central angle of 60°. Find the area of the sector if the radius of the circle is 3 mi.

### apex geometry

Hannah constructed two similar circles as seen in the image below. If the arc length of the larger circle is , which of the following would be true? A. The arc length of the smaller circle is proportional to the radius of the smaller circle. B. The arc length of the larger ...

### Maths

The arc of a circle of radius 20cm subtends an angle of 120degree at the center.use the value 3.142 for pie to calculate the area of the sector correct to the nearest cmsquared

### Math rem

2.Find the length of the arc in a circle if the radius of the circle is 24cm and the degree of the arc is 90o 3.Find the length of the arc if a circle if the degree if the arc is 120o and the length of the radius is 8cm. 4. A circle has a radius of 7. Find the diameter (D) and...

### PreCalculus

Cone Problem Beginning with a circular piece of paper with a 4- inch radius, as shown in (a), cut out a sector with an arc of length x. Join the two radial edges of the remaining portion of the paper to form a cone with radius r and height h, as shown in (b). What length of ...

### Math

Cone Problem Beginning with a circular piece of paper with a 4- inch radius, as shown in (a), cut out a sector with an arc of length x. Join the two radial edges of the remaining portion of the paper to form a cone with radius r and height h, as shown in (b). What length of ...

### maths

Im confused can any1 help me on this question ?? or try and put me on the right track? (a) A circle has radius 2cm (in that circle there is an triangle AOB) and the chord AB has length 3cm. AO is 2cm and BO is 2cm. O is the centre of the circle. (b) consider a paper disc whose...

### differential calculus

a bed is in a form of a circular sector. find its radius if the area of the sector is 1000 centimeter square and its perimeter is a minimum

### math

What's the length of the arc ab and the area of the sector aob

### maths

find the angle of a sector of a circle of radius 35cm is 288' find the perimeter of the sector

### Geometry

A piece of paper in the form of a sector of a circle of radius 15 cm is rolled into a cone. Calculate the volume of the cone if the angle of the sector is 240 degrees.

### Math

Find the length of the arc (sector question) Radius=8cm Angle=27

### Geometry

Find the intercepted arc if the radius is 9ft and the area of the sector is 179.54

### Geometry

ƒ¡ is a circle with center O . A and B are points on ƒ¡ such that the sector AOB has perimeter 40 . What is the measure of ÚAOB (in radians) when the area of the sector AOB is maximized

### Geometry

What is the formula for finding the central angle of a sector when given the radius and arc length?

### Math

Hello, I have this question to which it's solution I'm not quite sure of. The question is based on a diagram, and I can't really present it but I'll explain it to my very best, thank you very much for trying to understand my bad presentation of the question. The diagram is a ...

### Geometry

Hello, Can someone please tell me if I have the correct answer? Thank You, My answer: 25 sq. ft. What is the area of a sector of a circle that has a diameter of 10in. If the length of the arc is 10in.?

### math

If the cone in question 22 is made of paper, and the paper is flattened out into the sector of a circle , what is the angle of the sector

### math

A circular room has radius equal to 40 feet. Marble is to be laid on a sector of the room. What is the area of the sector if the central angle is 45°?

### Math

I already posted this, but wanted to say that I have the answers and it is 1.68 is less than or equal to x is less than or equal to 9.10 Cone Problem Beginning with a circular piece of paper with a 4- inch radius, as shown in (a), cut out a sector with an arc of length x. Join...

### geometry b

in a circle,a 90 dagree sector has an area of 36 pie ft squared.what is the radius of the circle ???

### Cranborne

In the diagram AOBP is the major sector of a circle centre O.BO=8cm, AOB=156° and the sector is bent to form a right cone. a)Caculate the radius of the cone b)Calculate the vertical angle of the cone

### Maths

Calculate the area of the sector of a circle which subtends an angle of 45degree at the center of the circle, radius 14cm

### Physics

The angle of a sector of a circle is 75 If the radius of this circle is increasing at the rate of 0.3cm/s find the rate of increase of the area when the radius is 6cm

### Gss Giza , nasarawa state

Q.1.Calculate the length of an are of a circle of radius 6 cm if the angle it subtends at the centre of circle is 6o. Q.2. Find the perimeter of a sector of a circle radius 5.2cm if the angle subtend at the centre is (a)3o (b)6o (c)135.

### maths

a paper cone has a base diameter of 8cm a height of 3cm. a)caculate the volume of the cone in terms of pie b)if the cone is cut and opened out into the sector of a circle.what is the angle of the sector

### geometry

The sector shown is formed into a cone by joining its two radii. Calculate the volume of the cone correct to the nearest whole number. It shows a diagram with a 240 degree sector or two-thirds of a circle with a radius of 12 cm. How do I do this? Thank you so much

### problem solving

What is the maximum area of a sector of a circle with P = 100? (Here is another surprise!!! -- could you believe it is r2 when r = 25? How is this similar to a square being the maximum rectangle and the central angle of the maximum sector being 2 radians?)

### math:mensuration plane shapes

a cone that has a base diameter-8cm and height-3cm is cut into a circle's sector, what is the angle of the sector

### Math

How would I calculate the area of a sector of a circle with radius 2 m that subtends an angle pi/3

### Math/Trig

Find the area of a sector of a circle with a radius of 3 m and a central angle of 125degrees.

### math

Radius of a circle with a sector area of 3 square ft determined by a central angle 1/4 radian

### Advanced functions

Find the area of a sector of a circle that has a central angle of 3π/8 and a radius of 7 cm.

### trigonometry

find the radius of the circle whose sector area is 426 sq.cm. and central angle 24

### Math

A paper cone has a base diameter of 8cm and a height of 3cm(a) use Pythagoras theorem to calculate it's slant height (b)if the cone is cut and opened out into the sector of a circle what is the angel of the sector

### trig

given a central angle of 66 degrees find the area of a sector in a circle of radius 12.1 inches

### Geometry

Trying to help my Autistic child with geometry. Need a simple step by step explanation and answer please. In this open ended question, find each item and include an explanation of how you found each one. Find arc AD. Find angle APD. If arc BC=100 degrees, find angle EBC. Find ...

### maths

when making a cone out of a given sector form a circle do we need to add circumfernce of the base circle to find its surface area?

### geometry!

Γ is a circle with center O. A and B are points on Γ such that the sector AOB has a perimeter of 40. Amongst all circular sectors with a perimeter of 40, what is the central measure of ∠AOB (in radians) of the sector with the largest area?

### math

sector 2 on a spinner is a 90 digrese (sorry for spelling) sector. if the spinner is spun twice, what is the probability that it will stop in sector 2 both times?

### Solid mensturation

Find the area of a sector bounded by a 60 degrees central angle in a circle of radius 6 inches

### math

a circular pizza box logo has a sector with a central angle of 80 degrees and a diameter of 16 inches. Find the area of this sector

### geometry

What is the ratio of the area of sector AOB to the area of sector COD? 1/3,1/4,1/9,3/8

### MONGU COLLEGE

In a single swing pendulum moves through an angle of 1.92 Radian. (a). Determine the length of arc treated by the pendulum Bob. (b). The area of the sector if the length of the pendulum is 13.2cm.

### MONGU COLLEGE

In a single swing pendulum moves through an angle of 1.92 Radian. (a). Determine the length of arc treated by the pendulum Bob. (b). The area of the sector if the length of the pendulum is 13.2cm.

### math advanced functions

a) Determine the measure of the central angle that is formed by an arc length of 5 cm in a circle with a radius of 2.5cm. Express the measure in both radians and degrees, correct to one decimal place. b) Determine the arc length of a circle in part a) if the central angle is ...

### Maths

A sector of a circle of radius 7cm subtending an angle of 270 degree at centre of the circle is use to form a cone? (A)find the base radius of the cone. (B)calculate the area of the base of the cone.

### calculus

A paper cone is to be formed by starting with a disk of radius 9cm, cutting out a circular sector, and gluing the new edges together. The size of the circular sector is chosen to maximize the volume of the resulting cone. How tall is the cone?

### calculus

A paper cone is to be formed by starting with a disk of radius 9cm, cutting out a circular sector, and gluing the new edges together. The size of the circular sector is chosen to maximize the volume of the resulting cone. How tall is the cone?

### calculus

A paper cone is to be formed by starting with a disk of radius 9cm, cutting out a circular sector, and gluing the new edges together. The size of the circular sector is chosen to maximize the volume of the resulting cone. How tall is the cone?

### Math

Check my answers please? There are only 10 The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X: The figure shows a circle with points A and B on it...

### MATHS

What is Radius if Angle at centre is 150 and Arc length is 220 What is radius if Angle at centre is 270 and Area is 1848 What are area and Angle at circle if Radius is 14 and Arc length is 55 What is radius if Angle at centre is 75 and Area is 154

### trig

What is the length of the circular arc intercepted by a central angle of 20degrees in a circle with a radius of 5cm?

### maths

Calculate the arc length that subtends an angle of 55 degree at the centre of a circle with radius r = 5cm.

### Trig

Find the area of a sector with the given central angle θ in a circle of radius r. θ = 90°, r = 6 cm

### trig

Find the length of the circular arc intercepted by a central angle of 20 degrees in a circle or radius 5cm

### math

In a circle with a radius of 5cm and is centered at point O, angle AOB intercepts arc AB. Arc AB has a length of 10cm. What is the degree measure of angle AOB? Round to the nearest hundredth.

### math

In a circle whose radius is 6, find the area of a sector, in terms of pi, whose center angle contains 30 degrees

### math

In a circle whose radius is 6, find the area of a sector, in terms of pi, whose center angle contains 30 degrees

### Math

I think this will be the last one. Find the radius of circle C if the measure of anglePQR=24° and the length of arc PR is 8pi. Answers: a.15 b.20 c.30 d.60 e.45 The diagram looks like a circle with its center at C. At a point on the edge of the circle is Q with lines reaching...