How to find the area of a sector

Practice Questions

ACT Math › How to find the area of a sector

Questions
7
1

On a circle with a radius of , what is the area of a sector having an arc length of ? Round to the nearest hundredth.

2

Stan is making some giant circular pies for his friend's wedding. The pies each have a diameter of and will be cut into equal pieces. Stan wants to have three pieces to himself. What is the surface area of the pie that Stan will eat if he eats three pieces?

3

Find the area of a 90 degree sector of a circle whose radius is 2.

4

Circle

The radius of the circle above is and . What is the area of the shaded section of the circle?

5

If a circle, , is centered at the origin, and has an area of , what is the area of the sector defined by the lines and the -axis?

6

A pizza recipe requires drops of hot sauce for every of surface area. If these drops are evenly distributed, what is the amount of hot sauce on a piece of pizza that is in diameter, cut into pieces? Round to the nearest drop. Assume that the sauce is evenly spread.

7

A group of students wish to cut a circular pizza of diameter into equal slices, each with an angle of . What is the total surface area, in square inches, of each slice of pizza? Round to the nearest hundredth.

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