Homework Help: Maths

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

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 the area of minor segment cut off by the chord PQ

Maths - Steve, Wednesday, December 26, 2012 at 10:47am
area 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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