Question

What is the radius of a circle with a circumference of 48 inches? Give the exact value and the value rounded to the nearest tent.

Answer 1

ANSWER

r = 24/π in ≈ 7.6 in

EXPLANATION

The circumference of a circle of radius r is,

$C=2\pi r$

So, if the circumference of this circle is 48 inches,

$48in=2\pi r\Rightarrow r=\frac{48in}{2\pi}=\frac{24}{\pi}in\approx7.6in$

Hence, the radius of this circle is 24/π inches, or 7.6 inches, rounded to the nearest tenth.