How to find the percentage of a sector from an angle

Practice Questions

ACT Math › How to find the percentage of a sector from an angle

Questions

5

1

A sector of an angle is bounded the major arc of $270^{\circ}$ . What percent of the circle does this make up?

2

A sector of a circle is bounded by the minor arc of $72^{\circ}$ . What percentage of the circle is the arc?

3

Circle50

The sector above represents what percentage of the complete circle? Round to the nearest hundredth.

4

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Figure not drawn to scale.

What percentage of the circle is sector ? Round to the nearest hundredth of a percent.

5

In circle $\circ P$ , central angle $\angle APB$ and inscribed angle $\angle ACB$ both intercept minor arc . If $\angle APB = 32 ^{\circ}$ , what is the measure of $\angle ACB$ ?

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