SOLUTION: Find the length of a 50 degree arc of a circle whose radius is 6.

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Question 190113: Find the length of a 50 degree arc of a circle whose radius is 6.
Found 2 solutions by solver91311, nerdybill:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Arc Length is given by:



Where is the radius of the circle, and is the measure of the central angle in degrees.

Just substitute your values and do the arithmetic. Since you weren't told to round to some precision, I would leave the answer in terms of


John

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of a 50 degree arc of a circle whose radius is 6.
.
diameter = 2r = 2(6) = 12
circumference = (pi)d = (3.14)(12)
.
Since there is 360 deg in a full circle:
length of a 50 deg arc = (50/360)(3.14)(12)
length of a 50 deg arc = (50/30)(3.14)
length of a 50 deg arc = (5/3)(3.14)
length of a 50 deg arc = 5.23