MathScore Practice: Arcs and Sectors

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

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

Sample Levels (out of 5)

Find the area of the sector in terms of pi.
Type "pi" in for π. Example: "7π m²" as "7pi sq m".

1.	The radius of the circle is 7 ft. Length =
2.	The radius of the circle is 7 mm. Length =

Find the area of the sector in terms of pi.
Type "pi" in for π. Example: "7π m²" as "7pi sq m".

1.	The radius of the circle is 3 in. Area =
2.	The radius of the circle is 4 yd. Area =

Find the area of the sector in terms of pi.
Type "pi" in for π. Example: "7π m²" as "7pi sq m".

1.	A sector has an area of ³²/₃ π km² and a radius of 4 km. Calculate the angle of the sector. °
2.	What is the measure of the central angle of an arc if its length is ⁴⁰/₃ π yd and its radius is 10 yd? °