Circle Geometry and Radian Measures

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

Tags

CCSS.HSG.C.B.5

G.CB.5

The area of a sector with central angle 3 radians and radius 4 is:

• 6

• 12

• 18

• 24

Tags

CCSS.HSG.C.B.5

G.CB.5

Convert 60 degrees to radians. 

• π/3

• π/2

• π/6

• π/4

Tags

CCSS.HSF.TF.A.1

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

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

G.CB.5

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

• 3

• 3π

• 6

• 9

Tags

CCSS.HSG.C.B.5

G.CB.5

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

• 18

• 9π

• 8π

• 3

Tags

CCSS.HSG.C.B.5

G.CB.5

Convert ​ ​π/4 radians to degrees.

• 30°

• 45°

• 60°

• 90°

Tags

CCSS.HSF.TF.A.1

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

Tags

CCSS.HSG.C.B.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

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5