Question

The area of a circle is 38.5 cm square its circumference is

Answer 1

The circumference of the circle is 22 cm.

Step-by-step explanation:

The area of a circle is:

$A=\pi r^{2}$

The circumference of the circle is:

$C=2\pi r$

Given:

A = 38.5 cm²

Compute the value of r as follows:

$A=\pi r^{2}\\38.5=\pi r^{2}\\r=\sqrt{\frac{38.5}{\pi}}\\r=\sqrt{12.25}=3.5$

Compute the circumference as follows:

$C=2\pi r=2\times \frac{22}{7}\times 3.5=21.99\approx 22$

Thus, the circumference of the circle is 22 cm.

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