SOLUTION: PLS. HELP ME SOLVE THIS PROBLEM. TNX. PROB.1. In a circle of diameter 12 inches, find the length of the arc and the area of the sector subtended on the circumference by a centra

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Question 380939: PLS. HELP ME SOLVE THIS PROBLEM. TNX.
PROB.1. In a circle of diameter 12 inches, find the length of the arc and the area of the sector subtended on the circumference by a central angle of 60 degrees.

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
A full circle is an arc of 360 degrees.
The length of an arc of 360 degrees = 2 * pi * r.
the length of an arc of x degrees is equal to x/360 * 2 * pi * r.
Same with the area.
The area of an arc of 360 degrees = pi * r^2
The area of an arc of x degrees is equal to x/360 * pi * r^2.
x is less than or equal to 360 degrees.
In your problem, you are given the diameter as 12 inches.
This makes the radius equal to 6 inches.
Work your problem accordingly.
Length of the arc = 60/360 * 2 * pi * 6 = 2 * pi
Area of the arc = 60/360 * pi * 6^2 = 60/360 * pi * 36 = 6 * pi










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