Question

36. If the area of a square is 50 sq. units then the area of the circle drawn on its diagonal is
(a) 25p sq units
(b) 50 p sq units
(c) 100 p sq units
(d) 75p sq units
(e) None of these​

Answer 1

Answer:

area of square = 50

side² = 50

side = 5√2cm

by using Pythagoras theorem

side² + side² = diagonal ²

2side² = diagonal ²

diagonal = side√2

diagonal = 5√2(√2)

diagonal = 10cm

this diagonal is diameter of circle

then radius = 5cm

area of circle = πr²

area = 22/7 x 5²

area = 78.5cm²

hope this will help you