Circle Geometry Quiz

What is the length of arc AB if the angle at the center is 120° and the radius is 6 cm?

• 12.57 cm

• 10.00 cm

• 15.70 cm

• 6.28 cm

Tags

CCSS.HSG.C.B.5

Given a circle with a diameter of 24 cm, what is the length of arc CD if the angle at the center is 60°?

• 12.57 cm

• 6.28 cm

• 18.85 cm

• 24.00 cm

Tags

CCSS.HSG.C.B.5

If the length of arc EF is 5π in and the angle at the center is 30°, what is the radius of the circle?

• 30 in

• 15 in

• 20 in

• 10 in

Tags

CCSS.HSG.C.B.5

For a circle with a radius of 10 cm, find the length of arc XY if the angle at the center is 70°.

• 12.22 cm

• 11.78 cm

• 13.66 cm

• 14.50 cm

Tags

CCSS.HSG.C.B.5

A circle has an arc whose measure is 80° and whose length is 88π. What is the diameter of the circle?

• 396 units

• 200 units

• 150 units

• 250 units

Tags

CCSS.HSG.C.B.5

Find the length of an arc in a circle with a circumference of 25π if the central angle is 90°.

• 6.25 units

• 7.85 units

• 9.63 units

• 12.57 units

Tags

CCSS.HSG.C.B.5

What is the measure of the central angle of an arc if its length is 14π and the radius is 18?

• 140°

• 150°

• 130°

• 120°

Tags

CCSS.HSG.C.B.5

What is the area of a sector with a central angle of 90 degrees and a radius of 6 units?

• 9π units²

• 18π units²

• 27π units²

• 36π units²

Tags

CCSS.HSG.C.B.5

If the central angle of a sector is 120 degrees and the radius is 12 units, what is the approximate area of the sector?

• 150.8 units²

• 75.4 units²

• 226.2 units²

• 302.4 units²

Tags

CCSS.HSG.C.B.5

What is the radius of a circle if the sector area is 5π and the central angle is 50 degrees?

• 5 units

• 6 units

• 7 units

• 8 units

Tags

CCSS.HSG.C.B.5