What is the length of an arc with a central angle of 5/4pi radians and a radius of 34cm? Use 3.14 for pi. Round to nearest hundredth of necessary

Guest Apr 27, 2017

#1**0 **

Once around a circle is equal to 2pi radians.

Since you want only 5/4pi, the portion of the circumference of the circle that you want is (5/4pi)/(2pi) which, when reduced is 5/8.

The circumference of a circle is found by: C = 2·pi·r

So the full circumference of the circle is: C = 2·pi·34 = 68·pi

Since you want only 5/8^{ths} of the circumference, your answer is (5/8)·68·pi.

Now, use a calculator to find your answer.

geno3141
Apr 27, 2017