My name is Kyle and I am a student.

This is a secondary level question from the June 1999 NYS Regents exam.

Here's the question:

In circle O, a central angle of 3 radians intercepts an arc of 27 meters. Find the number of meters in the length of the radius.

Hi Kyle,

I can give you an approximation immediately. There are pi radians in 180o and pi is approximately 3.14, so 27 meters gets you almost half way around the circle. Hence the correct answer is a little more than 2*27 = 54 meters.

Can you now see how to get the correct answer?

Go to Math Central