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| Math Central | Quandaries & Queries |
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Question from Keith, a parent: I am trying to help my daughter I have the perimeter of a semi circle of 37 but how do I calculate the diameter from this. Help |
Hi Keith,
The perimeter of a semicircle is made up of two parts, a diameter and a curved piece which has the length of half the circumference of the circle.
Suppose the diameter is $d$ units long then you know that the circumference of the circle is $\pi d$ units. Thus the perimeter of the semicircle is $d + \frac{\pi}{2} d$ units. But you know that the perimeter is 37 units so
\[d + \frac{\pi}{2} d = 37.\]
Solve for $d.$
Write back if you need further assistance,
Penny
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