Question

a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?

Answer 1

∠72°.

Explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

`(4)/(20) = (x)/(360)`

Cross multiply:

`1440 = 20x\\`

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.