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A circular lake has a circumference of 24 miles. To the nearest square mile, what is the area of the lake?

Solution

A circular lake has a circumference of 24 miles. To the nearest square mile, what is the area of the lake?

Solution

a re a : \frac{144}{π} mi l e^{2}

+1

Decimal Notation

45.83662 \dots

Solution steps

Given:

c i rc u m f ere n ce : 24 mi l e

Radius given

C i rc u m f ere n ce = 24 : r = \frac{12}{π}

Circle Area given

r = \frac{12}{π} : A = \frac{144}{π}

a re a : \frac{144}{π} mi l e^{2}

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