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Find the area of a circle with a circumference of 12.56 units.
units
^(2)

Find the area of a circle with a circumference of $12$ . $56$ units. $\newline$ $\square$ units $^{2}$

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Convert rates and measurements: metric units

Full solution

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

12

.

56

units.

\newline

\square

units

^{2}

Find Radius of Circle: First, we need to find the radius of the circle. The formula for the circumference $C$ of a circle is $C = 2 \times \pi \times r$ , where $r$ is the radius.
Calculate Circumference: We know the circumference is $12.56$ units. So, $12.56 = 2 \times \pi \times r$ . To find $r$ , we divide both sides by $2 \times \pi$ .
Calculate Radius: $r = \frac{12.56}{2 \times \pi}$ . We can use $3.14$ as an approximation for $\pi$ . So, $r = \frac{12.56}{2 \times 3.14}$ .
Find Area of Circle: Calculating that gives us $r = \frac{12.56}{6.28}$ , which is $r = 2$ units.
Substitute Radius: Now we can find the area $A$ of the circle using the formula $A = \pi \cdot r^2$ .
Calculate Area: Substitute $r = 2$ into the formula: $A = 3.14 \times (2)^2$ .
Calculate Area: Substitute $r = 2$ into the formula: $A = 3.14 \times (2)^2$ .Calculating the area gives us $A = 3.14 \times 4$ , which is $A = 12.56$ units $^2$ .

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