Cycle 5: Arc Measure vs. Are Length

Labelling

Label the following parts of the circle.

Drag labels to their correct position on the image

Match

Match the following arcs with the parts of the circle.

Major Arcs

Minor Arcs

Semicircle Arcs

• Major Arcs

• Minor Arcs

• Semicircle Arcs

Open Ended

How does the arc measure correspond with the central angle? ( Full sentence please )

*If needed, write it down first!

Math Response

Find the following arc measure.

Type answer here

Correct Answer: 125

Deg^°

Rad

Math Response

Find the following arc measure.

Type answer here

Correct Answer: 55

Deg^°

Rad

Math Response

Find the following arc measure.

Type answer here

Correct Answer: 49

Deg^°

Rad

Math Response

Find the following arc measure.

Type answer here

Correct Answer: 131

Deg^°

Rad

Open Ended

Name three things that are needed to determine arc length.

*(number each answer)

Math Response

Given the radius of a circle, find the circumference.

(round to nearest hundredth)

Type answer here

Correct Answer: 43.98

Deg^°

Rad

Math Response

Given the diameter of a circle, find the circumference.

(round to nearest hundredth)

Type answer here

Correct Answer: 37.70

Deg^°

Rad

Multiple Choice

If the circumference of a circle is $$20\pi$$ . Find the diameter and the radius.

• d = 20; r = 10

• d = 10; r = 5

• d = 40: r = 20

• d = 5; r =2.5

Open Ended

How does the arc length relate to central angle and radius?

Math Response

Find the length of the bolded arc.

(round to nearest whole number)

Type answer here

Correct Answer: 66

Deg^°

Rad

Math Response

Find the length of the bolded arc.

(round to nearest tenth)

Type answer here

Correct Answer: 8.6

Deg^°

Rad

Math Response

Find the length of the bolded arc.

(round to nearest tenth)

Type answer here

Correct Answer: 36.7

Deg^°

Rad

Math Response

Calculate the arc length of a circle with a radius of 8 inches and a central angle of 120 degrees.

(Round to nearest hundredth)

Type answer here

Correct Answer: 16.76

Deg^°

Rad

Math Response

A circle whose radius is 15 units makes a central angle of 65 degrees. Calculate the length of the arc intercepted by the central angle.

(Round to nearest hundredth)

Type answer here

Correct Answer: 17.02

Deg^°

Rad

Math Response

A sector of a wheel has a central angle of 36 degrees and an arc length of 15 cm. What is the radius of the wheel?

(Round to nearest hundredth)

Type answer here

Correct Answer: 17.02

Deg^°

Rad

Math Response

A circle whose radius is 5 units has an arc length of 3π. Calculate the central angle intercept by the arc.

(Round to nearest hundredth)

Type answer here

Correct Answer: 17.02

Deg^°

Rad