Question

Find the area of the shaded region where abcd is a square of side 14 cm and 4 semicircles are formed inside class 10

Answer 1

side AB=14cm

since the circles meet each other nd r forming in the square, 14 is diameter of two circles.

therefore in one circle diameter will be 7cm

then radius of one circle is 7/2 cm

ar of ABCD is 14*14 (ABCD is square)

ar ABCD = 196 cm square

ar of one circle = 22/7 * 7/2 * 7/2

ar of circle = 38.5 cm square

ar of 4 circles = 154 cm square

ar of shaded portion = ar of square - ar of all four circles

ar of shaded portion = 196 - 154

 = 42 cm square