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Find the area of a circle with a circumference of 6.28 units.
units
^(2)

Find the area of a circle with a circumference of $6$ . $28$ units. $\newline$ $\square$ units $^{2}$

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Full solution

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

6

.

28

units.

\newline

\square

units

^{2}

Calculate radius using circumference: Calculate the radius using the circumference. $\newline$ Circumference formula: $C = 2 \cdot \pi \cdot r$ $\newline$ Given $C = 6.28$ units, and $\pi$ is approximately $3.14$ . $\newline$ $r = \frac{C}{2 \cdot \pi}$ $\newline$ $r = \frac{6.28}{2 \cdot 3.14}$ $\newline$ $r = 1$ unit
Use radius to find area: Use the radius to find the area of the circle. $\newline$ Area formula: $A = \pi \cdot r^2$ $\newline$ $A = 3.14 \cdot (1)^2$ $\newline$ $A = 3.14 \cdot 1$ $\newline$ $A = 3.14$ units $^2$

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