Question

MIchele has a square piece of wood with 12.4 inch sides. Deon has a circular piece of wood with an identical area. What is the length of the radius of Deon's piece of wood? Round to the nearest whole number.

Answer 1

The length of the radius is 7 inches.

Explanation:

Michele has a square piece of wood with 12.4 inches side.

The area of a square is = side²

So, the area of the wood is= (12.4)² square inches

Area of a circle is = πr², where r is the radius of the circle.

Assume that, the length of the radius be r.

So,

πr²=(12.4)²

`\Rightarrow r^2=(153.76)/(\pi)`

`\Rightarrow r=\sqrt{(153.76)/(\pi)}`

`\Rightarrow r\approx 7` inches

The length of the radius is 7 inches.