A circle has radius of 7cm. How many degrees is the central angle subtended by an arc of length 5.5 cm?

can anybody help me what this problem all about... I can't understand the problem... Please do illustrate.

thanks

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- December 17th 2012, 07:34 PMrcsMeasure of central angle
A circle has radius of 7cm. How many degrees is the central angle subtended by an arc of length 5.5 cm?

can anybody help me what this problem all about... I can't understand the problem... Please do illustrate.

thanks - December 17th 2012, 08:05 PMchiroRe: Measure of central angle
Hey rcs.

For this you should use the standard arc-length formula which is arc-length = r*theta where r is the radius and theta is the angle sub-tended.

Arc (geometry) - Wikipedia, the free encyclopedia - December 17th 2012, 09:28 PMrcsRe: Measure of central angle
- December 17th 2012, 10:13 PMchiroRe: Measure of central angle
That is right of the angle is in radians.

In degrees we get:

> 5.5/7

[1] 0.7857143

> 5.5/7*180/pi

[1] 45.01811

or roughly 45 degrees.