Question

What is the circumference of a circle with an area of 132.665 square cm?

Answer 1

c≈40.83cm

a area

132.665

cm²

Answer 2

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The unit for area is not given, so it is assumed as 132.665 square meters because the required line to be made is in meters. First, compute the radius of the circle:

pi(r^2)=132.665

3.14(r^2)=132.665

r^2=132.665/3.14=42.25

r=(42.25)^1/2=6.5 meters radius and the diameter is twice the radius=2x6.5=13 meters.

Now that the required line is equal to the diameter, you can establish the line anywhere on the level ground using string for alignment, measuring tape for measuring 13 meters and chalk for marking the line. If you want to draw the circle, measure the radius of 6.5 on the line and drive a 2 inch or 3 inch concrete nail to the ground to be your center line, and tie at least 7 meters long string to the nail marking the 6.5 meters end with the chalk on it, swing the 6.5 meter string mark around to draw the circle. But, the 13 meters is to be established from the center, therefore the line is extended 6.5 meters outside the circle. Please note that 13 meters circle is big and cannot be drawn by a compass