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Question

# Find: a. the diameter of a circular pond of perimeter 37.38 m b. the radius of a circular pond of perimeter 32.67 m.

Solution

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a) We have a circular pond of perimeter $37.38 \ \text{m}$, then we can find the diameter of this pond as the following :

We have

\begin{align*} \text{Perimeter} & = \pi \ d \end{align*}

Then we have

\begin{align*} d & = \dfrac{\text{Perimeter}}{\pi} \\ & = \dfrac{37.38 \ \text{m}}{\pi} \\ & = 11.9 \ \text{m} \\ \end{align*}

a) We have a circular pond of perimeter $37.38 \ \text{m}$, then we can find the radius of this pond as the following :

We have

\begin{align*} \text{Perimeter} & = \pi \ d \\ & = \pi \ 2r \end{align*}

Then we have

\begin{align*} r & = \dfrac{\text{Perimeter}}{2 \pi} \\ & = \dfrac{32.67 \ \text{m}}{2 \times \pi} \\ & = 5.2 \ \text{m} \end{align*}

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