SOLUTION: Anyone willing to tackle these two:
Please explain process. Bless you.
circumference = 240 inches; length of arc AB = 40 inches.Find the measure of the central angle ACB.
Algebra ->
Circles
-> SOLUTION: Anyone willing to tackle these two:
Please explain process. Bless you.
circumference = 240 inches; length of arc AB = 40 inches.Find the measure of the central angle ACB.
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Question 702895: Anyone willing to tackle these two:
Please explain process. Bless you.
circumference = 240 inches; length of arc AB = 40 inches.Find the measure of the central angle ACB.
and
measurement of angle ACB = 30 degrees; length of arc AB = 100 millimeters, find the circumference. Found 2 solutions by Alan3354, lwsshak3:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! circumference = 240 inches; length of arc AB = 40 inches.Find the measure of the central angle ACB.
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The arc length = 1/6 of C, so the angle = (1/6)*360
= 60 degs
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measurement of angle ACB = 30 degrees; length of arc AB = 100 millimeters, find the circumference.
Angle = 30/360 = 1/12 of the circle.
100 mm = 1/12 of the circumference.
C = 1200 mm
You can put this solution on YOUR website! circumference = 240 inches; length of arc AB = 40 inches.
Find the measure of the central angle ACB.
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circumference = 240=2πr
r=radius=240/2π=120/π
s=rx, s=length of arc, r=radius, x=central angle in radians
x=s/r=40/(120/π)=40π/120=π/3
central angle ACB=π/3 radians
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measurement of angle ACB = 30 degrees; length of arc AB = 100 millimeters.
Find the circumference.
30º=π/6 radians
r=s/x=100/(π/6)=600/π
circumference=2πr=2π*600/π=1200 millimeters
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