Answered

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 :

kjcubedx3
206.2648 cm^2 total. 103.1324 cm.^2 for each circle
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Answer:

Area of circles = 206.26 square centimetres.

Step-by-step 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

[tex]2\pi r=36\\\\r=5.73cm \\ [/tex]

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

[tex]\texttt{Area}=2\pi r^2=2\times \pi\times 5.73^2=206.26cm^2 \\ [/tex]

Area of circles = 206.26 square centimetres.

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