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Mathematics 25 Online
OpenStudy (mven):

If the length of an arc is 12pi inches and the radius of the circle is 10 inches, what is the measure of the arc?

OpenStudy (welshfella):

arc length = r * c where r = radius and c = arc in radians

OpenStudy (welshfella):

so just plug your values in and solve for c

OpenStudy (mven):

so 452.39?

OpenStudy (welshfella):

c = 12pi / 10

OpenStudy (mven):

2.769

OpenStudy (mven):

sorry 3.769

OpenStudy (welshfella):

yes 3. 77 correct to 2 decimal places

OpenStudy (mven):

the answers the teacher gave us for the homework for this question are 216 degrees 270 degrees 288 degrees

OpenStudy (welshfella):

or 1.2pi in terms of pi

OpenStudy (welshfella):

ok - you have to convert radians to degrees

OpenStudy (mven):

1 radian is 57 degrees right?

OpenStudy (mven):

or 57.29 which would come out to 215.98 and round up to 216

OpenStudy (welshfella):

well its more like 57.3 degrres

OpenStudy (welshfella):

yes thats right

OpenStudy (welshfella):

or you can nultiply by 180/pi |dw:1427985027477:dw|

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