Question

A circle has a radius of 3. An arc in this circle has a central angle of 20°

What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for and enter your answer as a decimal.

Answer 1

The length of the arc is 1.0467

Explanation:

First of all to solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 3

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 3

c = 18.84

The length of the circumference is 18.84

Now we have to divide the 20° by the 360​​° that a circle has, to know what part of the circle it represents

20° / 360° = 1/18

Now we multiply this fraction by the circumference and obtain the length of the arc

1/18 * 18.84 = 1.0467

The length of the arc is 1.0467