Sectors

Practice Questions

ACT Math › Sectors

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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

_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?

3

What is the length of the arc ?

 arc2

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

4

A bike wheel has evenly spaced spokes spreading from its center to its tire. What must the angle be for the spokes in order to guarantee this even spacing? Round to the nearest hundredth.

5

What is the length of the arc ?

 arc2

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

6

A bike wheel has evenly spaced spokes spreading from its center to its tire. What must the angle be for the spokes in order to guarantee this even spacing? Round to the nearest hundredth.

7

A sector of an angle is bounded the major arc of . What percent of the circle does this make up?

8

A sector of an angle is bounded the major arc of . What percent of the circle does this make up?

9

A sector of a circle is bounded by the minor arc of . What percentage of the circle is the arc?

10

A sector of a circle is bounded by the minor arc of . What percentage of the circle is the arc?

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