Arc Length, Radii, Radian, and Sector Similarity and Proportionality: CCSS.Math.Content.HSG-C.B.5

Practice Questions

Common Core: High School - Geometry › Arc Length, Radii, Radian, and Sector Similarity and Proportionality: CCSS.Math.Content.HSG-C.B.5

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1

Determine the area of the sector of a circle that has a central angle of degrees and a circumference of .

Refer to the following figure to help calculate the solution.

Arclength 1

2

Calculate the arc length of a circle that has a central angle of degrees and a circumference of .

Refer to the following figure to help calculate the solution.

Circlearc5 6

3

If the radius is , and the central angle is $\frac{\pi}{31}$ find the arc length.

4

Calculate the arc length of a circle that has a central angle of degrees and an of .

Refer to the following figure to help calculate the solution.

Circlearc7 8

5

Determine the area of the sector of a circle that has a central angle of degrees and a circumference of .

Refer to the following figure to help calculate the solution.

Circlearc3 4

6

Determine the area of the sector of a circle that has a central angle of degrees and an area of .

Refer to the following figure to help calculate the solution.

Circlearc7 8

7

If the radius is , and the central angle is $\frac{\pi}{33}$ find the arc length.

8

If the radius is , and the central angle is $\frac{\pi}{24}$ find the arc length.

9

If the radius is , and the central angle is $\frac{\pi}{23}$ find the arc length.

10

Determine the area of the sector of a circle that has a central angle of degrees and an area of .

Refer to the following figure to help calculate the solution.

Circlearc11 12

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