Arc Length, Sector Area, and Equation of Circles

A region bounded by two radii of the circle and their intercepted arc is a ....

• arc of a circle
• arc length of a circle
• sector of a circle
• segment of a circle

Tags

CCSS.HSG.C.B.5

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47
• 74
• 94
• 123

Tags

CCSS.HSF.TF.A.1

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

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

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

CCSS.HSG.GMD.A.1

A region bounded by an arc and its chord is a

• sector of a circle
• arc of a circle
• arc length of a circle
• segment of a circle

Tags

CCSS.HSG.C.B.5

The distance along an arc measured in linear units.

• area of a sector

• arc length

• arc of a circle

• sector of a circle

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Which angles are congruent?

• <ACB = <ADB
• <ADB=<AEB
• <AEB=<ACB
• <ACB = <ADB = <AEB

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

If a  quadrilateral is inscribed in a circle, then its ____angles are _____.

• adjacent; complimentary
• opposite; complimentary
• adjacent; supplementary
• opposite; supplementary

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

Find the measure of arc AB.

• 17
• 34
• 68
• 146

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.A.2

CCSS.HSG.C.B.5