Grade 10 Math — Areas related to circles

Find the arc length, area and perimeter of a sector, and the area of a segment.

Name: ________________________

1.In a circle of radius 10 inches a sector has an angle of 90° at the center. Take π = 3.14. The triangle made by the two radii and the chord joining their ends has an area of 50 square inches. What is the area of the minor segment cut off by that chord, in square inches?
2.A circle has been cut into three sectors. Tap the sector with the largest area.
Write the number of the part.
3.A sector of a circle of radius 6 inches has an angle of 60° at the center. Take π = 3.14. What is its area, in square inches?
4.A sector of a circle of radius 21 inches has an angle of 60° at the center. Take π = 22/7. What is its area, in square inches?
5.A sector of a circle of radius 21 inches has an angle of 60° at the center. Take π = 22/7. What is the perimeter of the sector, in inches?
6.Doubling a sector's radius while keeping its angle at the center the same multiplies its area by what?
- a) 4
- b) 3
- c) 2
- d) 8
7.A sector of a circle of radius 7 inches has an angle of 90° at the center. Take π = 22/7. How long is its arc, in inches?
8.Through how many degrees does the minute hand of a clock turn in 20 minutes?

Answer key — Grade 10 Math — Areas related to circles