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.

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

• 7⁰

• 14⁰

• 26⁰

• 51⁰

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

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

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

• 60⁰

• 110⁰

• 75⁰

• 45⁰

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

• 45⁰

• 60⁰

• 70⁰

• 90⁰

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

Find the area of the shaded sector?

• 14 cm squared

• 139.6 cm squared

• 27.9 cm squared

• 558.5 ft squared