Standard: M.3.G.2 M.3.G.4.  Center:  Radius: A line segment drawn from the center to any point on the circle  Diameter: A line segment drawn across.

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Presentation transcript:

Standard: M.3.G.2 M.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…

A A

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 = 2 π r C = π d

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: 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: 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:

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