Math CentralQuandaries & Queries


Question from coco, a student:

Find the area of a circle with a circumference of 32.69 meters.

The circumference $C$ of a circle of radius $r$ meters is given by $C = 2 \pi \; r$ and its area $A$ is given by $A = \pi \; r^2 .$ Since you know $C,$ substitute it into the first equation, solve this equation for $r$ and then substitute this value into the second equation to find $A.$


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