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January 25, 2015

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Posted by **Shruti katiyar** on Wednesday, December 26, 2012 at 9:23am.

A chord PQ of length 12cm suntends an angle of 120 degree at the centre of a circle. Find the area of minor segment cut off by the chord PQ

- Maths -
**Steve**, Wednesday, December 26, 2012 at 10:47amarea of segment is

a = 1/2 r^2 (θ-sinθ)

here,

4 sin θ/2 = 2, so θ=π/3

so,

a = 1/2 (16) (π/3 - √3/2)

= 4/3 (2π-3√3)

use same formula with θ=2π/3, r*sin(θ/2)=6 to find r

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