Finding the Arc Length of a Circle

What is the length of the blue arc?

• 45⁰

• 3.9 mi

• 5.9 mi

• 7.9 mi

Tags

CCSS.HSG.C.B.5

What is the length of the green arc?

• 1.6 mi

• 6.3 mi

• 3.1 mi

• 12.6 mi

Tags

CCSS.HSG.C.B.5

What is the length of the blue arc?

• 42.4 in

• 1.2 in

• 95.4 in

• 21.2 in

Tags

CCSS.HSG.C.B.5

What is defined as the product of the ratio of the measure of the arc divided by 360 and the circumference of the circle?

• arc measure

• sector area

• segment area

• arc length

Tags

CCSS.HSG.C.B.5

Find the arc length.  Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

Tags

CCSS.HSG.C.B.5

Tags

CCSS.HSG.C.B.5

Tags

CCSS.HSG.C.B.5

Solve for the arc length in the circle shown.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.B.5

How does the process for finding the arc length differ from the process for finding the sector area?

• The arc length is a degree while the sector area is labeled in square units.

• The arc length uses π while the sector area does not always use π.

• The arc length and sector area are always equal.

• The arc length requires using the circumference while sector area requires the circle area formula.

Tags

CCSS.HSG.C.B.5

Find the arc length

• 12π cm

• 15π cm

• 39.375 cm

• 14π cm

Tags

CCSS.HSG.C.B.5