Question

Hi friends
solve my doubt
the side of a square is 10 cm find the area of circumscribed circle.
answer=157cm^2

Answer 1

Radius = 1/2(diagonal of square)
1/2 × ✓2 side
1/2 × ✓2× 10
5✓2 cm
Area= πr²
22/7 ×25 × 2
1100/7 cm²
157.14cm²

Answer 2

Answer:

~157 cm²

Step-by-step explanation:

Given, Each side of square is 10 cm.

Diameter = 10 cm.

Then, radius = 5 cm.

Area of the circle = πr²

                             = (22/7) * (5)²

                             = 78.5 cm²

Therefore, Area of circle is 78.5 cm².

Circumscribed circle:

Radius = (1/2)diagonal of square

           = (1/2) * √2s

          = (1/2) * √2 * 10

          = 5√2 cm

Area = πr²

        = (22/7) * (5√2)²

        = 1100/7

        = ~157 cm²

Therefore, Area of circumscribed circle = 157 cm².

Hope it helps!