Areas and Arcs

Calculate the length of the arc. Round to 2 decimal places.

• 346.36 mm

• 33.0 mm

• 32.99 mm

• 346.4 mm

Tags

CCSS.HSG.C.B.5

What region of a circle is defined as the region bounded by two radii and their intercepted arc.

• sector

• segment

• arc

• angle

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

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

What is the measure of arc AD?

• 38

• 142

• 180

• 153

Tags

CCSS.HSG.C.B.5

What is the arc measure FE?

• 54°

• 90°

• 27°

• 31.5°

Tags

CCSS.HSG.C.A.2

Find the length of the bold arc.Leave pi in your answer.

• 5688π ft

• 15.8π ft

• 150.4π ft

• 54,150 ft

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

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Tags

CCSS.HSG.C.B.5

Which is true of a minor arc?

• It forms half a circle.

• It forms a whole circle.

• It measures greater than 180 degrees. 

• It measures less than 180 degrees.

Tags

CCSS.HSG.C.B.5