Question

In the given figure abcd is a square of side 14 cm ,semi circles are drawn with each side of square of diameter find the area of the shaded reagion

Answer 1

Answer:

AB=1 & ⇒=214=7

radius of semi circle =214=7

Since the diagram is stmmetric we could k are of petal and multiply it by 4

4×(area of 1 petal) = area of 4 petal

Area of 1 petal:

area of shaded region in (2)

=21 (area of semi circle)

=21[απr2]=4π(r)2=449π

area of shaded region in (3)

⇒1/2×bax×height

⇒ 1/2×AP×OP⇒1/2×7×7⇒249

∴  area of (1)=area(2)−area)3)

=449π−249=249[2π−1]