Find the area of the circle

a) 98π in²
b) 196π in²
c) 20π in²
d) 39π in²

Given:

Square inscribed in a circle.

Side of square = 14 in

To find:

The area of the circle

Solution:

All sides of square are equal.

Using Pythagoras theorem to find the diagonal:

Taking square root on both sides, we get

Diagonal =

Diameter of the circle = Diagonal of square

                                   = in

Radius of the circle =

Area of the circle formula:

Substitute r value, we get

The area of the circle is 98π in².

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