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| Math Central | Quandaries & Queries |
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Question from Arwin: The radius of a circle is 17 cm. A chord XY lies 9 cm from the centre and divides the circle into two segments. Find the perimeter of the minor segment. |
Hi Arwin,
In my diagram is the center of the circle. The minor segment is shaded blue and its perimeter is composed of two section, the chord and the arc of the circle from X to Y.
The angle XMC is a right angle (do you see why?) so Pythagoras Theorem allows you to find the distance from X to M. and hence the length of the chord XY. The length of the arc from X to Y can be found using the information in Harley's response to an earlier question. Make sure you have you calculator set to radians rather than degrees.
Penny
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