Question

In the figure given below, ABCD is a square of side 14 cm with E, F, G and H as the mid points of sides AB, BC, CD and DA respectively. The area of the shaded portion is ______.

Options

• 44cm²

• 49cm²

• 98cm²

• `(49pi)/2"cm"^2`

Answer 1

In the figure given below, ABCD is a square of side 14 cm with E, F, G and H as the mid points of sides AB, BC, CD and DA respectively. The area of the shaded portion is 98cm².

Explanation:

Shaded area = Area of semicircle + (Area of half square - Area of two quadrants)

= Area of semicircle + (Area of half square - Area of semicircle)

= Area of half square = `1/2xx14xx14=98"cm"^2`