Circle Length of Arc and Sector

The distance along an arc measured in linear units.

• area of a sector

• arc length

• arc of a circle

• sector of a circle

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 5

• 9

• 8

• 6

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

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90

• 60

• 55

• 113

Tags

CCSS.HSG.C.B.5

The diagram shows a sector of a circle of radius 4 units, formed from an angle of size 135°.

Find the length of the arc rounded to two decimal places.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.B.5

Match the answers to the following problems.

• Problem 1

• Problem 4

• Problem 2

• Problem 3

Tags

CCSS.HSG.C.B.5

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to thenearest tenth of a square unit.

• 0.3 square units

• 15.7 square units

• 19.7 square units

• 50.3 square units

Tags

CCSS.HSG.C.B.5

is the formula for?

• arc length

• area of a sector

• area of a segment

• arc measure

Tags

CCSS.HSG.C.B.5

Find the length of the bold arc.

• 61.3ft

• 20.4ft

• 7351.3ft

• 22,068ft

Tags

CCSS.HSG.C.B.5

What is the arc length of minor arc AB?

• 5.23

• 103

• 33.33

• 50

Tags

CCSS.HSG.C.B.5