Geometry Spring 2025 - Arc Length, Sectors, and Radians

G.CB.5 What is the length of an arc subtended by a central angle of 2 radians in a circle with radius 5?

• 10
• 5
• 2
• 1

G.CB.5 The area of a sector with central angle 3 radians and radius 4 is:

• 6
• 12
• 18
• 24

G.CB.5 Convert 60 degrees to radians.

• π/3
• π/2
• π/6
• π/4

G.CB.5 If a central angle of a circle is 2π radians, what fraction of the total circle’s area is the area of the sector?

• 1
• 1/2
• 1/4
• 1/6

G.CB.5 The length of an arc with radius 3 and a central angle of π radians is:

• 3
• 3π
• 6
• 9

G.CB.5 What is the area of a sector with a central angle of π/2 and radius 6?

• 18
• 9π
• 8π
• 3

G.CB.5 Convert ​ ​π/4 radians to degrees.

• 30°
• 45°
• 60°
• 90°

G.CB.5 What is the length of an arc of a circle with radius 7 and a central angle of π/2​?

• 3.5
• 7
• 7π/2
• 10.5

G.CB.5 A sector with radius 10 has an angle of 3 radians. What is the area of the sector?

• 150
• 250
• 300
• 500

G.CB.5 The central angle of a sector is 1 radian and the radius is 6. The area of the sector is:

• 3
• 6
• 9
• 18