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
+23246 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 5/8ths of the circumference, your answer is (5/8)·68·pi.
Now, use a calculator to find your answer.
