What is the length of a minor arc that is intercepted by a central angle whose measure is 50 degrees and the circle has a radius of 10?

Hello!

As you know, the length of an entire circumference of a radius is and an entire circumference contains the central angle of 360 degrees.

Also the length of an arc is proportional to the measure of its central angle. The proportion is:

length of an arc with an angle : length of an entire circumference = : 360°,

or

length for angle alpha : =...

Hello!

As you know, the length of an entire circumference of a radius is and an entire circumference contains the central angle of 360 degrees.

Also the length of an arc is proportional to the measure of its central angle. The proportion is:

length of an arc with an angle : length of an entire circumference = : 360°,

or

length for angle alpha : = : 360°

(alpha is in degrees also).

Thus the length is   in our case it is   or approximately