Standard: M.3.G.2 M.3.G.4. Center: Radius: A line segment drawn from the center to any point on...
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Standard: M.3.G.2 M.3.G.4
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Transcript of Standard: M.3.G.2 M.3.G.4. Center: Radius: A line segment drawn from the center to any point on...
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
