QuestionJuly 15, 2025

What is the approximate area of a circle with a diameter of 10 in? A. 15.7in^2 B 31.4in^2 C. 78.5in^2 D. 314in^2

What is the approximate area of a circle with a diameter of 10 in? A. 15.7in^2 B 31.4in^2 C. 78.5in^2 D. 314in^2
What is the approximate area of a circle with a diameter of 10 in? A. 15.7in^2 B 31.4in^2 C. 78.5in^2 D. 314in^2

Solution
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Answer

C 78.5in^{2} Explanation 1. Calculate the radius The radius is half of the diameter. So, r = \frac{10}{2} = 5 inches. 2. Use the area formula for a circle **Area** of a circle is given by A = \pi r^2. Substitute r = 5. 3. Compute the area A = \pi (5)^2 = 25\pi. Approximating \pi \approx 3.14, we get A \approx 25 \times 3.14 = 78.5 square inches.

Explanation

1. Calculate the radius<br /> The radius is half of the diameter. So, $r = \frac{10}{2} = 5$ inches.<br /><br />2. Use the area formula for a circle<br /> **Area** of a circle is given by $A = \pi r^2$. Substitute $r = 5$.<br /><br />3. Compute the area<br /> $A = \pi (5)^2 = 25\pi$. Approximating $\pi \approx 3.14$, we get $A \approx 25 \times 3.14 = 78.5$ square inches.
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