Standard: M.3.G.2M.3.G.4

Center: Radius: A line segment drawn

from the center to any point on the circle

Diameter: A line segment drawn across a circle that passes through the center (twice the radius)

Chord: Any segment with endpoints that are on the circle

2

The middle…duh…

AA

Circumference

• Circumference is:

4

The distance around the outside of the circle

Circumference is:

Circumference formulas:

5

The distance around the outside of the circle

C = 2πrC = πd

Name the circle.

Answer: The circle has its center at E, so it is named circle E, or .

Answer: Four radii are shown: .

Name the radius of the circle.

Answer: Four chords are shown: .

Name a chord of the circle.

Name a diameter of the circle.

Answer: are the only chords that go through the center. So, are diameters.

Answer:

Answer:

a. Name the circle.

b. Name a radius of the circle.

c. Name a chord of the circle.

d. Name a diameter of the circle.

Answer:

Answer:

Answer: 9

Formula for radius

Substitute and simplify.

If ST 18, find RS.

Circle R has diameters and .

Answer: 48

Formula for diameter

Substitute and simplify.

If RM 24, find QM.

Circle R has diameters .

Answer: So, RP = 2.

Since all radii are congruent, RN = RP.

If RN 2, find RP.

Circle R has diameters .

Answer: 58

Answer: 12.5

a. If BG = 25, find MG.

b. If DM = 29, find DN.

Circle M has diameters

c. If MF = 8.5, find MG.

Answer: 8.5

Find EZ.

The diameters of and are 22 millimeters, 16 millimeters, and 10 millimeters, respectively.

Since the diameter of FZ = 5.

Since the diameter of , EF = 22.

Segment Addition Postulate

Substitution

is part of .

Simplify.

Answer: 27 mm

Find XF.

The diameters of and are 22 millimeters, 16 millimeters, and 10 millimeters, respectively.

Since the diameter of , EF = 22.

Answer: 11 mm

is part of . Since is a radius of

The diameters of , and are 5 inches, 9 inches, and 18 inches respectively.a. Find AC.

b. Find EB.Answer: 6.5 in.

Answer: 13.5 in.

Find C if r = 13 inches.

Circumference formula

Substitution

Answer:

Find C if d = 6 millimeters.

Circumference formula

Substitution

Answer:

Find d and r to the nearest hundredth if C = 65.4 feet.

Circumference formula

Substitution

Use a calculator.

Divide each side by .

Radius formula

Use a calculator.

Answer:

a. Find C if r = 22 centimeters.

b. Find C if d = 3 feet.

c. Find d and r to the nearest hundredth if C = 16.8 meters.

Answer:

Answer:

Answer:

Lesson 10-1P. 525#16-54 even, 63, 65