# What is the area of a semi-circular garden where the circumference of the semi-circle is 108 meters?

See a solution process below:

Because the garden is a semi-circle and the perimeter is 108m, we know if it was a full circle the perimeter would be:

We can now use the formula for perimeter of a circle to find the radius of the circle which is the same as the radius of the semi-circle.

Where:

Substituting for

We can now use the formula for the area of a circle. However, because this is a semi-circle we can divide it by

Substituting

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The area of the semi-circular garden is approximately 182.04 square meters.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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