Question 255282: 1. A circle has radius of 12. if an arc of the circle has measure 100.. find the length of the arc in terms of PI??
2. In terms of PI, how much farther does a 70 cm diameter bicycle tire travel in one revolution then a 50 dm diameter bicycle tire??
3.In a circle the length of an arc with measure 120 is 14PI. find the the radius of the circle?
Thank you in advance
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A circle has radius of 12. if an arc of the circle has measure 100.. find the length of the arc in terms of PI?
I assume you mean an arc of 100º
The circumference of the circle it 2pi*r = 24pi (for all 360º)
The arc is 100/360 of that,
= 24pi*(100/360) = 20pi/3 units
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2. In terms of PI, how much farther does a 70 cm diameter bicycle tire travel in one revolution then a 50 dm diameter bicycle tire??
I'll assume it's 50 cm, not 50 dm
Each revolution moves the bike the circumference of the wheel.
The diff is 2pi*70 - 2pi*50
= 2pi*(70-50)
= 40pi cm
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3.In a circle the length of an arc with measure 120 is 14PI. find the the radius of the circle?
120º is 1/3 of the circle, and 1/3 of the circumference.
The total circumference = 42pi = 2pi*r
r = 42pi/2pi
r = 21 units
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