Question
The diameter of a circle is 5 in. Find its area to the nearest hundredth.
Answer Attempt 1 out of 2
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Ask by Zimmerman Clark. in the United States

Mar 24,2025

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Question The diameter of a circle is 5 in. Find its area to the nearest hundredth. Answer Attempt 1 out of 2 $$ A=\square \mathrm{in}^{2} $$ Submit Answer

UpStudy AI · Accepted Answer

1. Given the diameter $$ d = 5 $$ in, find the radius $$ r $$ using  
   $$
   r = \frac{d}{2} = \frac{5}{2} = 2.5 \text{ in}
   $$

2. The area $$ A $$ of a circle is given by  
   $$
   A = \pi r^2
   $$

3. Substitute $$ r = 2.5 $$ in:  
   $$
   A = \pi (2.5)^2 = \pi \times 6.25
   $$

4. Calculate the numerical value (using $$ \pi \approx 3.14159 $$):  
   $$
   A \approx 3.14159 \times 6.25 \approx 19.63494 \text{ in}^2
   $$

5. Rounding to the nearest hundredth, the area is  
   $$
   A \approx 19.63 \text{ in}^2
   $$
The area of the circle is approximately 19.63 square inches.

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The diameter of a circle is 5 in. Find its area to the nearest hundredth.
Answer Attempt 1 out of 2
Submit Answer

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Question The diameter of a circle is 5 in. Find its area to the nearest hundredth. Answer Attempt 1 out of 2 Submit Answer