Guided Practice

Question

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Find the area of this circle in terms of π.

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π ft2
16 ft

Answer 1

To find the area of a circle, you use the formula:

\[ \text{Area} = \pi r^2 \]

where \( r \) is the radius of the circle.

Given that the diameter of the circle is 16 ft, we can find the radius by dividing the diameter by 2:

\[ r = \frac{d}{2} = \frac{16 ft}{2} = 8 ft \]

Now, plug the radius back into the area formula:

\[ \text{Area} = \pi (8 ft)^2 = \pi \cdot 64 \, \text{ft}^2 = 64\pi \, \text{ft}^2 \]

So the area of the circle in terms of \( \pi \) is \( 64\pi \, \text{ft}^2 \).