Question

the area of a circle is $49\pi$ square inches. what is the circumference?
give the exact answer in simplest form.
inches
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Explanation:

Step1: Relate area to radius

The area of a circle is given by $A = \pi r^2$. Set equal to given area:
$\pi r^2 = 49\pi$

Step2: Solve for radius $r$

Divide both sides by $\pi$, then take square root:
$r^2 = 49 \implies r = \sqrt{49} = 7$

Step3: Calculate circumference

Circumference formula: $C = 2\pi r$. Substitute $r=7$:
$C = 2\pi \times 7$

Answer:

$14\pi$ inches