How to find the length of an arc

Practice Questions

ACT Math › How to find the length of an arc

Questions
6
1

_arc1

The figure above is a circle with center at and a radius of . This figure is not drawn to scale.

What is the length of the arc in the figure above?

2

What is the length of the arc ?

 arc2

The total area of the circle is and the area of the shaded region is .

3

If a circle has a circumference of , what is the measure of the arc contained by a degree angle located at the center of the circle?

4

A water wheel turns a arc every minute. If the radius of the wheel is , how far in meters does the wheel turn along its edge each minute?

5

What is the area of the sector of a circle with a central angle of degrees and a radius of ? Simplify any fractions and leave your answer in terms of .

6

Circle

In the circle above, the angle A in radians is

What is the length of arc A?

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