The diameter of a circle is 42 ft . Find its area to the nearest whole number.

Question

UpStudy AI · Accepted Answer

1. The radius $$ r $$ of the circle is half of the diameter:
   $$
   r = \frac{42}{2} = 21 \text{ ft}
   $$

2. The formula for the area $$ A $$ of a circle is:
   $$
   A = \pi r^2
   $$

3. Substitute the radius into the formula:
   $$
   A = \pi (21)^2 = 441\pi \text{ ft}^2
   $$

4. Approximating using $$ \pi \approx 3.1416 $$:
   $$
   A \approx 441 \times 3.1416 \approx 1385.44 \text{ ft}^2
   $$

5. Rounding to the nearest whole number, the area is:
   $$
   1385 \text{ ft}^2
   $$
The area of the circle is approximately 1385 square feet.

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