Circles Central and Inscribed Angles

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

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

Which number best represents a central angle?

• 1

• 2

• 5

• 9

What is the relationship between a central angle and its arc?

• The angle is half of the arc.

• The arc is half of the angle.

• The arc is smaller than the angle.

• They are congruent.

Tags

CCSS.HSG.C.B.5

Name a minor arc

• AD

• ADB

• AB

• CD

Which is true of a major arc?

• Forms half a circle.

• Forms a whole circle.

• Measures greater than 180 degrees.

• Measures less than 180 degrees.

What is the area of the shaded region? Round to the nearest hundredth.

• 26 units²

• 452.39 units²

• 113.10 units²

• 40,715.04 units²

Tags

CCSS.HSG.C.B.5

Which number best represents an inscribed angle?

• 1

• 2

• 8

• 9

What is the measure of arc AD?

• 38

• 142

• 180

• 153

Tags

CCSS.HSG.C.B.5