Question

In the figure given above
ABCD is a square of side 50 m. Points
P, Q, R, S are midpoints of side AB, side BC, side CD, side AD
respectively. Find area of shaded region.​

Answer 1

Answer:

hope it helps you out.............

Answer 2

Given:

ABCD is a square of side 50 m.

P,Q,R,S are mid points of side AB, BC, CD and AD respectively.

To Find:

Area of the shaded region

Solution:

ABCD is a square of side 50 m

area of a square = a×a

area of square = 50×50 = 2500 $m^{2}$

Area of shaded region = area of square - area of 4 quadrants of radius 25 m

area of 4 quadrants = area of circle

Area of shaded region = area of square - area of circle of radius 25 m

Area of shaded region = $(50)(50) - \pi R^{2}$

R= 25 m

area of shaded region = $(50)(50)- \pi (25)(25)$

                                     $(25)(25){4-\pi }\\= 537.5 m^{2}$

Area of shaded region = 537.5 $m^{2}$