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| Math Central | Quandaries & Queries |
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Question from Wallis, a student: I have more then a quarter of a circle, but less than half. What is the circumference if the two side are 7cm and the angle between them is 110 degrees? |
Hi Wallis,
The circumference of a circle is 2 
r where r is the radius. Thus your circle has a circumference of
2
But, as you said, the sector you have is more than a quarter of this but less than half. Since all the way around the circle is 360 degrees the fraction of the circle you have is 110/360. Thus the length of your arc is
110/360
Penny
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