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Find the area of a circle with a circumference of 37.68 units.
units
^(2)

Find the area of a circle with a circumference of $37$ . $68$ units. $\newline$ $\square$ units $^{2}$

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Evaluate powers with negative exponents

Full solution

Q. Find the area of a circle with a circumference of

37

.

68

units.

\newline

\square

units

^{2}

Find Circle Radius: Find the radius of the circle using the circumference. $\newline$ Circumference $C$ = $2 \pi r$ $\newline$ $37.68 = 2 \pi r$ $\newline$ $r = \frac{37.68}{2 \pi}$ $\newline$ $r \approx \frac{37.68}{6.28}$ $\newline$ $r \approx 6$
Calculate Circle Area: Calculate the area of the circle using the radius. $\newline$ Area $A = \pi \cdot r^2$ $\newline$ $A = \pi \cdot 6^2$ $\newline$ $A = \pi \cdot 36$ $\newline$ $A \approx 3.14 \cdot 36$ $\newline$ $A \approx 113.04$

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