Sector and Segments of a Circle

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

How many degrees (to the nearest degree) does the shaded sector's intercepted arc contain?

• 7⁰

• 14⁰

• 26⁰

• 51⁰

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

The region between an arc and the two radii, joining the centre to the endpoints of the arc is called a ————–

• Sector

• Segment

• Arc

• Area

In the below figure, the value of ∠ADC is:

• 60⁰

• 30⁰

• 45⁰

• 55⁰

Tags

CCSS.HSG.C.A.2

Segment of a circle is the region between an arc and ———- of the circle.

• Radius

• Chord

• Diameter

• sector

In the figure, if O is the centre of a circle, then the measure of ∠ACB is:

• 80⁰

• 100⁰

• 40⁰

• 60⁰

Tags

CCSS.HSG.C.A.2

In the figure, O is the centre of the circle and PR = QR. What is the measure of ∠PQR?

• 60⁰

• 110⁰

• 75⁰

• 45⁰

Tags

CCSS.HSG.C.A.2

In the figure, O is the centre of the circle. What is the measure of ∠ACB?

• 45⁰

• 60⁰

• 70⁰

• 90⁰

Tags

CCSS.HSG.C.A.2

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 in²

• 10.5 in²

• 31.4 in²

• 38.2 in²

Tags

CCSS.HSG.C.B.5

Find the area of the shaded sector?

• 14 cm squared

• 139.6 cm squared

• 27.9 cm squared

• 558.5 ft squared

Tags

CCSS.HSG.C.B.5