Question

In the fig. quadrilateral ABCD is square of side 50m. Points P,Q,R,S are midpoints of side AB,sideBC sideCD and sideAD respectively. Find the area of shaded portion

Answer 1

Answer:537.5

Step-by-step explanation:

By using sector formula find sector of all sides then find are of square which is 2500sq.cm . Then subtract area of square - area of all sectors.

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Answer 2

Step-by-step explanation:

area of square = 50*50=2500 m^2

P,Q,R,S is mid point and they form a quadrant ....therefore radius of each quadrant is 50/2= 25 m

ar. of total quadrants = 4* ((πr^2)/4)

I.e. π*625= 1963.49 m^2

then area of shaded portion= area of square - area of total quadrants = 2500-1963.49 =536.5 m^2