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Example Question #21 : Circles
What is the angle of a sector that has an arc length of on a circle of diameter ?
Possible Answers:
Correct answer:
Explanation:
The first thing to do for this problem is to compute the total circumference of the circle. Notice that you were given the diameter. The proper equation is therefore:
For your data, this means,
Now, to compute the angle, note that you have a percentage of the total circumference, based upon your arc length:
Rounded to the nearest hundredth, this is .
Sumit
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Calcutta University, Bachelor of Science, Mathematics. Indian Statistical Institute, Master of Science, Mathematics.
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