Question

find the area of a circle with a circumference of 12.56 units.

units²

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Explanation:

Step1: Recall circumference formula

The circumference of a circle is $C = 2\pi r$, where $C=12.56$ and we use $\pi=3.14$.

Step2: Solve for radius $r$

Rearrange formula: $r = \frac{C}{2\pi}$
$r = \frac{12.56}{2\times3.14} = 2$ units

Step3: Recall area formula

Area of a circle is $A = \pi r^2$.

Step4: Calculate the area

Substitute $r=2$ and $\pi=3.14$:
$A = 3.14\times2^2 = 3.14\times4 = 12.56$

Answer:

12.56 units²