approximate the radius of the circle...

Question

if a circular arc of 14 centimeters subtends a central angle of 35 degrees on a circle, approximate the radius of the circle

Answer 1

Two parts to this one:

 

First find the circumference of the circle.

Use a proportion,

 

14/35 = c/360

 

c ≈ 50.9

 

Now find the radius.

 

c = 2πr

50.9 ≈ 2πr

25.5 ≈ πr

8.11 ≈ r

 

The radius is approximately 8.11 cm