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Question from Keith, a parent:

I am trying to hlp my daughter

I have the perimeter of a semi circle of 37 but how do I calculate the diameter from this.
This is all the information I have.

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.

semicircle

Suppose the diameter is $d$ units lang then you know that the circumference is $\pi d$ units long. Thus the perimeter of the semicircle is $d + \frac{\pi}{2} d$ units long. But you know that the perimeter is 37 units long so

\[d + \frac{\pi}{2} d = 37.\]

Solve for $d.$

Write back if you need further assistance,
Penny

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