A piece of wire is bent in the form of a circle

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Question from Renece, a student:

a piece of wire is bent in the form of a circle and it encloses an area of 154cm
a) calculate the radius of the circle
b) the circumference of the circle use 22/7
The same piece of wire is then bent into a square
d) calculate the area enclosed by the square.

Renece,

The area of a circle is π r² and hence for your circle

154 cm² = π r²

Solve for r.

Use r to find the circumference of the circle. This is then the length of the wire. If you bend the wire into a square how long is each side? What is its area?

Penny

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.