MathScore Practice: Arcs and Sectors 2

Description: Find arc lengths, areas of sectors, and central angle measurements using radians.

Adaptive Learning Progression: Arcs, then sectors, then angles, then mixed.

Sample Levels (out of 4)

Solve in terms of pi.
Type "pi" in for π. Example: "7π" as "7pi".

What is the length of an arc on a circle where r = 10 and

θ =

What is the length of an arc on a circle where r = 2 and

θ =

5π

What is the length of an arc on a circle where r = 4 and

θ =

3π

Solve in terms of pi.
Type "pi" in for π. Example: "7π" as "7pi".

What is the area of a sector on a circle where r = 8 and

θ =

What is the area of a sector on a circle where r = 6 and

θ =

5π

What is the area of a sector on a circle where r = 4 and

θ =

Solve in terms of pi.
Type "pi" in for π. Example: "7π" as "7pi".

1.	Find the angle (in radians) of a sector where its area is ¹⁴/₅ π and its radius is 2.
2.	Find the angle (in radians) of an arc where its length is ³²/₃ π and its radius is 6.
3.	Find the angle (in radians) of an arc where its length is 2 π and its radius is 2.

Solve in terms of pi.
Type "pi" in for π. Example: "7π" as "7pi".

1.	A sector has radius r = 2 and an area of ¹/₃ π. What is its arc length?
2.	A sector has radius r = 4 and an area of 12 π. What is its arc length?