Question

The area of the minor segment of angle θ° of a circle of radius r is ______.

Answer 1

The area of the minor segment of angle θ° of a circle of radius r is `underlinebb(θ/360 xx πr^2 - r^2 sin  θ/2 cos  θ/2)`.

Explanation:

Area(segment) = Area(sector) – Area(Δ formed by the radii and chord)

= `(πθ)/360 r^2 - r^2·sin  θ/2  cos  θ/2`