A circle has a radius of 3 feet. What is the arc length subtended a central angle of 90 degrees

Answer 1

Use the formula for circumference C= pi d

diameter is twice the radius.

remember a circle has 360 degree.

90 is what fraction of 360.

Then set up your proportion of the central angle to its arc length as the entire circle is to the circumference.

hope this helps

Answer 2

The circumference of a circle is 2*pi*radius which for a radius of 3 is 6*pi. A central angle of 90 degrees is one quarter of a circle so the length of the arc sub tended by that angle is one quarter of the circumference or 1.5 * pi.