Question

In fig. O is the center of a circle such that diameter AB=13cm and AC= 12 cm. BC is joined. Find the area of the shaded region.

Answer 1

Here, `BC = sqrt(13^2-12^2) = 5cm`
Radius of circle `(r) = (AB)/2 = 13/2 = 6.5cm`
`:.` Area of shaded region `(A_s) = ` Area of semi circle - Area of `Delta ABC`
`=>A_s = pi/2(6.5)^2-(1/2**12**5)`
`=>A_s = 3.14/2(6.5)^2-30 = 66.3325-30 = 36.333cm^2`