How to find the area of a sector

Practice Questions

PSAT Math › How to find the area of a sector

Questions

6

1

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?

2

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

3

Circle

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

4

Circle_120_degrees

What is the area of the $120^\circ$ sector above if the radius of circle is ?

5

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?

6

A circular, 8-slice pizza is placed in a square box that has dimensions four inches larger than the diameter of the pizza. If the box covers a surface area of 256 in2, what is the surface area of one piece of pizza?

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