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

Answer:

The length of the radius is 7 inches.

Step-by-step 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

$\Rightarrow r^2=\frac{153.76}{\pi}$

$\Rightarrow r=\sqrt{\frac{153.76}{\pi}}$

$\Rightarrow r\approx 7$ inches

The length of the radius is 7 inches.