# Solid mensuration

The area of a segment of a circle is 330 square meter. If the longest chord of the segment is 57 meter,find its radius.

1. 👍 0
2. 👎 0
3. 👁 104
1. recall that the area of a segment is

a = 1/2 r^2 (θ-sinθ)

If the longest chord is c, then

(c/2)/r = sin(θ/2)

So, now we have

27.5 = r*sin(θ/2)
330 = 1/2 r^2 (θ-sinθ)

Solve those two and you have

θ = 1.24
so, r = 47.33

as always, check my math

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### Geometry

Express answer in exact form. Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius. (Hint: A chord divides a circle into two segments. In problem 1, you found the area of the smaller segment.)

asked by Jessica on March 28, 2017
2. ### Maths

AB is a chord with centre O and radius 4 cm. AB is of length 4 cm and divides the circle into two segments. Find d area of minor segment. A chord PQ of length 12cm suntends an angle of 120 degree at the centre of a circle. Find

asked by Shruti katiyar on December 26, 2012
3. ### solid mensuration

a circle having an area of 452 square inches is cut into segments by a chord, which is 6cm from the center of the circle. Find the area of the bigger segment.

asked by sweet on August 21, 2016
4. ### Solid Mensuration

A circle having an area of 452 square inches is cut into two segments by a chord, which is 6 inches from the center of the circle. Find the area of the bigger segment.

asked by Sol on November 30, 2014
5. ### 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)

asked by Olagunju on June 18, 2016
6. ### Geometry

A chord PQ of a circle with radius r subtends an angle B at the center. Show that the area of the minor segment PQ=1/2.r^2.(B-sinB) and write down the area of the major segment PQ interms of r and B.

asked by Age on June 10, 2015
7. ### math

A segment of a circle has a 120 arc and a chord of 8in. Find the area of the segment

asked by tony on October 20, 2010
8. ### math

A segment of a circle has a 120 arc and a chord of 8^3in. Find the area of the segment.

asked by Delecia on April 18, 2013
9. ### math

in circle p, chord cd is 12 inches long and measure of arc cd=90°, find the exact area of the segment bounded by chord cd and arc cd.

asked by kenzi on May 30, 2016
10. ### Copperbelt international college

A chord PQ of length 5.6cm divides a circle of radius 3.5cm into two segments.calculate the difference in areas between major and minor segment in the circle of chord PQ.

asked by sthabiso on February 15, 2013

More Similar Questions