SOLUTION: Ruby drew a circle. The circle has a radius of 48 mm. She puts 132 mm of red paint in an arc around the circumference. What is the central angle in radians of the given arc?

Question 1082042: Ruby drew a circle. The circle has a radius of 48 mm. She puts 132 mm of red paint in an arc around the circumference. What is the central angle in radians of the given arc?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the circumference of a circle with a radius of 48 mm is c = 2 * pi * 48 = 301.5928947 mm.

the length of the arc that is painted red is 132 mm.

the central angle of the complete circle is 360 degrees.

the central angle of the arc is therefore 132 / 301.5928947 * 360 = 157.5633937 degrees.

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