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

r = 24/π in ≈ 7.6 in

Step-by-step 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=(48in)/(2\pi)=(24)/(\pi)in\approx7.6in`

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