Central angle and intercepted arcs

Multiple Choice

What is the value of DC? (to the nearest hundredth) 

• 9.43

• 4.43

• √89

• 9

Multiple Choice

Find the radius r

• 2

• 3

• 4

• 5

Multiple Choice

Assume that all the lines that appear tangent are tangent. Find the perimeter (remember that tangents to a circle are congruent)

• 54

• 36

• 48

• 42

Multiple Choice

Find the perimeter of the triangle.

• A

• B

• C

• D

Central Angle

​an angle whose vertex is the center of a circle and whose sides are the radii of the circle

Arc - a portion of a circle, named by 2 or 3 letters with a curve on top

Arc AB is the intercepted arc of central angle AOB

The degrees of the intercepted

arc AB are the same as it’s

central angle AOB

Match

Match the following.

Semicircle

Minor Arc

Major Arc

• Semicircle

• Minor Arc

• Major Arc

Multiple Choice

Name a semicircle.

• AD

• ABC

• BA

Multiple Choice

What is the measure of arc AXB

• 50

• 100

• 180

• 260

Multiple Choice

What is the measure of ∠PTQ?

• 100°

• 140°

• 180°

• 120°

Multiple Choice

What is the measure of arc ED?

• 90 degrees

• 55 degrees

• 270 degrees

• 35 degrees

Multiple Choice

This is a picture of ___________.

• Minor Arc

• Major Arc

• Semi-Circle

• Central Angle

Multiple Choice

What is the value of x?

• x = 160

• x = 40

• x = 80

• x = 360

Multiple Choice

This is a picture of ___________.

• Minor Arc

• Major Arc

• Semi-Circle

• Central Angle

Multiple Choice

Solve for x. Assume that lines which appear to be diameters are actual diameters.

• 7

• -9

• -7

• -5

Multiple Choice

Solve for x. Assume that lines which appear to be diameters are actual diameters.

• 2

• 3

• 1

• -4

Multiple Choice

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

• $$102\degree$$

• $$100\degree$$

• $$107\degree$$

• $$137\degree$$