Question

The side Find the area of shaded portion in the following figures. Are the areas same? (Hint: diameter of circle side of square) 7 cm 7 cm 7 cm 7 cm 7 cm 7 cm 7 cm 7cm 7 cm 7 cm 7 cm 7 cm ​

Answer 1

Step-by-step explanation:

Given,

Radius of the circle=7cm

Let the side of the square be acm.

A square when inscribed in a circle then the diameter of the circle must be diagonal of the square.

Therefore,

Diagonal of square=

a

2

+a

2

=

2

a

Now,

Diameter of the circle=2×7

=14cm

=>

2

a=14

=>a=

2

14

=>a=7

2

cm

Therefore,

Area of square=a

2

=(7

2

cm)

2

=(7

2

cm)(7

2

cm)

=98cm

2