Central Angle Theorem

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

• 150°

• 100°

• 210°

• 105°

Which statement is true for central angles?

• m(angle) = m(intercepted arc)

• m(angle) = ½ m(intercepted arc)

• m(angle) = ½ (big arc + little arc)

• m(angle) = ½ (big arc - little arc)

Tags

CCSS.HSG.C.A.2

• x = 160
• x = 40
• x = 80
• x = 360

Tags

CCSS.HSG.C.A.2

Find the measure of the central angle indicated. Assume that lines which appear to be diameters are actual diameters.

Tags

CCSS.HSG.C.A.2

What is the central angle theorem?

• The central angle of a circle is equal to the arc measure

• An inscribed angle created from the endpoints of the diameter is 90 degrees

• The area of a circle is equal to half the measure of the arc

• Opposite angles in a cyclic quadrilateral add up to 180

Tags

CCSS.HSG.C.A.2

Solve for x. 

• 5

• 20

• 40

• 85

Tags

CCSS.HSG.C.A.2

Find the measure of arc AB.

• 17

• 34

• 68

• 146

Tags

CCSS.HSG.C.A.2

What is the value of x?

• 22

• 25

• 15

• 20

Tags

CCSS.HSG.C.A.2