Question
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
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
Answers
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
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
12.56
16