Question

in the given fig ABCD is a square with side 6cm find the area of shaded region

Answer 1

Hi ,

shaded area = area of circle - area of square

area of square
= side * side
= 6*6
= 36 sq cm

area of circle
in triangle ABC : AB^2 + BC^2 = AC^2
6^2 + 6^2 = AC^2
AC = √72
AC = 6√2 = diameter of circle

radius = r = d/2 = 6√2 / 2 = 3√2 cm
so
area = π*r^2
= π*(3√2)^2
= π(9*2)
= 18π sq cm

so area of shaded region = 18π - 36 =  20.571 sq cm (taking π=22/7)

Hope it helped.
Let me know if any doubts.
Cheers !!!