Question

In the figure below, OMPN is a square. If the area of the circle O is 4π then what is the area of the shaded region?

Answer 1

4 - π

Step-by-step explanation:

(a) Radius of circle

A = πr² Substitute value of A

4π = πr² Divide each side by π

r² = 4 Take the square root of each side

r = 2

(b) Area of MON

A = ¼ × area of circle

A = ¼ × 4π

A = π

(c) Area of MONP

l = r Substitute the value of r

l = 2

A = l² Substitute the value of l

A = 2²

A = 4

(d) Area of MPN

A(MPN) = A(MONP) – A(MON)

Area(MPN) = 4 - π