Math CentralQuandaries & Queries


Question from Maisy, a student:

This is the question that I got for a math worksheet.
The radius of a quarter circle is 5 miles. What is the quarter circle's perimeter?
Use 3.14 for pi.

I don't remember how to solve this...

Hi Maisy,

The one fact you need to know is that the circumference of a circle is $2 \pi \;r mbox{ miles}$ where $r$ is the radius in miles.

quarter circle

In my diagram the quarter circle, coloured yellow, has a perimeter, coloured red, in three sections. Two of them are radii of the circle and the third is 1/4 of the circumference of the circle.


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