SOLUTION: 1. Find the area of the shaded sector. Leave answer in terms of pi. Using 8m and 135degrees. 2. Find the radius of a circle which has an arc with a length of 9pi cm and a centra

Algebra ->  Trigonometry-basics -> SOLUTION: 1. Find the area of the shaded sector. Leave answer in terms of pi. Using 8m and 135degrees. 2. Find the radius of a circle which has an arc with a length of 9pi cm and a centra      Log On


   

Question 1160311: 1. Find the area of the shaded sector. Leave answer in terms of pi. Using 8m and 135degrees.
2. Find the radius of a circle which has an arc with a length of 9pi cm and a central angle of 72degrees
Answer by Boreal(15235) About Me  (Show Source):
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2. above
central angle of 72 degrees is 1/5 of a full circle (360 degrees)
so the entire circle has a circumference 5 times the given arc or 45 pi cm
C=2*pi*r=45 pi cm
so r=22.5 cm