Calculate Circle Radius: Converting 50.25 Circumference

Question

A circle has a circumference of 50.25.

What is its radius?

00:00 Find the radius

00:03 We'll use the formula for calculating circle circumference

00:08 We'll substitute appropriate values according to the given data and solve for the radius

00:14 We'll substitute the value of pi

00:26 We'll isolate radius R and calculate

00:39 And this is the solution to the question

We use the formula:

$P=2\pi r$

We insert the known data into the formula:

$50.25=3.14\times2r$

$50.25=2\times r\times3.14$

$50.25=6.28r$

$\frac{50.25}{6.28}=\frac{6.28r}{6.28}$

$r=8$