Question

A circle has a radius of 10 centimeters and a central angle that measures 90 degrees. what is the length of the arc defined by this central angle

Answer 1

Answer:

The length of the arc is 15.7 centimeters

Step-by-step explanation:

The central angle measures 90 degrees. In order to find the length of the arc, we need to find the total circumference of the circle.

Circumference formula = pi x diameter
The diameter is just the radius doubled

pi x (10 + 10)
pi x 20 = 62.8

The total circumference is 62.8. We know that there are 360 degrees in a circle and 90 is 1/4 of 360.

So 62.8 / 4 = 15.7

The arc should be 15.7 cm

i think this is correct, sorry if its not