# The area of a square is 100 cm^2 Work out the area of the circle.Give your answer in terms of pi?

### Jemma Smith

Full time tutor. Entrance exam specialist. Qualified teacher. 6years expert.

To do this I will assume that the circle is inside the square, touching the sides. area of square = length * width 100 = length * width and since it is a square, the length and width are the same ( call them both y ) 100=y * y so y is 10 so the width and length are 10, this also means the diameter of the circle is 10 (if it is touching the side of the square) diameter = 10 area of a circle is pi * radius ^2 radius is half diameter radius = 5 area = pi* 5^2 area =25 pi please contact me if you are interested in tuition.

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