Question

A piece of wire 72 cm long is cut into two equal pieces and each is formed into a circle. what is the sum, in square centimeters, of the areas of these circles?

Answer 1

206.2648 cm^2 total. 103.1324 cm.^2 for each circle

Answer 2

Area of circles = 206.26 square centimetres.

Explanation:

Length of wire = 72 cm

Number of pieces in to cut = 2

Length of each piece = 36 cm

Perimeter of new circles = 36 cm

That is

`2\pi r=36\\\\r=5.73cm \\`

Now we need to find area of 2 circles with radius 5.73cm.

`\texttt{Area}=2\pi r^2=2* \pi* 5.73^2=206.26cm^2 \\`

Area of circles = 206.26 square centimetres.