Question

In the adjoining figure, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touches externally two of the three remaining circles. Find the area of the shaded region.

Answer 1

Area of shaded portion = 42 sq. cm.

Explanation:

Area of the shaded portion = area of square - 4 * area of a quadrant of the circle

= area of square - 4 * 1/4 area of circle

= area of square - area of circle.

area of square = side * side = 14 * 14 = 196 sq. cm.

area of circle = π * radius * radius.

Radius = 1/2 of side of square = 1/2 * 14 = 7 cm

area of circle = π * 7 * 7 = 22/ 7 * 7 * 7 = 154 sq. cm

Area of shaded portion = 196 - 154 = 42 sq. cm.

Answer 2

Explanation:

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