Question

The radius of a circle with centre O is 7 cm. Two radii OA and OB are drawn at right angles to each other. Find the areas of minor and major segments.

Answer 1

Area of triangle AOB $=\frac{1}{2}\times 7\times 7=24.5c{m}^2$

area of the sector $=\frac{90}{360}\times \frac{22}{7}\times 7\times 7=38.5c{m}^2$

area of minor segment = area of the sector - the area of the triangle

$=38.5-24.5=14c{m}^2$

area of major segment = area of circle - the area of the minor segment

$=\frac{22}{7}\times 7\times 7-14=154-14=140c{m}^2$