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Find the area of a circle with a circumference of 31.4 units.
units
^(2)

Find the area of a circle with a circumference of $31$ . $4$ units. $\newline$ $\square$ units $^{2}$

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Full solution

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

31

.

4

units.

\newline

\square

units

^{2}

Find Radius Circumference Formula: Find the radius using the circumference formula $C = 2\pi r$ . $C = 31.4$ units, so $31.4 = 2\pi r$ . Divide both sides by $2\pi$ to get $r$ . $r = \frac{31.4}{2\pi}$ . $r \approx \frac{31.4}{6.28}$ . $r \approx 5$ units.
Calculate Area Circle Formula: Calculate the area of the circle using the formula $A = \pi r^2$ . $\newline$ $A = \pi \times (5)^2$ . $\newline$ $A = \pi \times 25$ . $\newline$ $A \approx 3.14 \times 25$ . $\newline$ $A \approx 78.5 \text{ units}^2$ .

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