How to find the area of a sector

Practice Questions

High School Math › How to find the area of a sector

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1

To the nearest tenth, give the area of a $60^{\circ }$ sector of a circle with diameter 18 centimeters.

2

Find the area of the shaded region:

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3

Find the area of the following sector:

4

What is the area of the following sector of a full circle?

Arch

Note: Figure is not drawn to scale.

5

Find the area of a sector that has an angle of 120 degrees and radius of 3.

6

In the figure, PQ is the arc of a circle with center O. If the area of the sector is $3\pi$ what is the perimeter of sector?

7

Circle

The radius of the circle above is and $\angle A=45^{\circ}$ . What is the area of the shaded section of the circle?

8

If B is a circle with line AC = 12 and line BC = 16, then what is the area formed by DBE?

9

Find the area of the shaded segment of the circle. The right angle rests at the center of the circle.

10

Square-missing

is a square.

$\overline{AB}=\overline{BC}=\overline{CD}$

The arc from to is a semicircle with a center at the midpoint of $\overline{BC}$ .

All units are in feet.

The diagram shows a plot of land.

The cost of summer upkeep is $2.50 per square foot.

In dollars, what is the total upkeep cost for the summer?

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