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To find the circumference of a circle, you use the formula C = 2âˆr. You will need to use this equation to solve for r, the radius. Once you have the radius, you will then plug it into the formula for an area of a circle, which is A = âˆr2. Now, let's fill in your information.
C = 2âˆr
37.14 = 2âˆr
Divide both sided by 2∠to isolate the variable r.
37.14/2∠= r
Since the original problem uses two decimal places, we will round to two decimal places as well.
5.91 = r
Now, that we have the radius, 5.91, we can fill it into the formula for an area of a circle to solve your problem.
A = âˆr2
A = âˆ(5.91)2
A = âˆ(34.94)
A = 109.77
So, the area of a circle with a circumference of 37.14 is 109.77.
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