Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Let's find the area of the circle step-by-step.
First, we know that the diameter of the circle is 10 inches.
1. Calculate the radius:
The radius is half of the diameter.
[tex]\[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{10 \text{ inches}}{2} = 5 \text{ inches} \][/tex]
2. Calculate the area:
The formula to calculate the area of a circle is given by:
[tex]\[ \text{Area} = \pi r^2 \][/tex]
where [tex]\( r \)[/tex] is the radius.
3. Substitute the value of the radius:
[tex]\[ \text{Area} = \pi \times (5 \text{ inches})^2 \][/tex]
[tex]\[ \text{Area} = \pi \times 25 \text{ inches}^2 \][/tex]
4. Using the known value of [tex]\(\pi \approx 3.14159\)[/tex], the area can be computed as:
[tex]\[ \text{Area} \approx 3.14159 \times 25 \text{ in}^2 \approx 78.54 \text{ in}^2 \][/tex]
After rounding to the nearest tenth, the area is approximately [tex]\(78.5 \text{ in}^2\)[/tex].
Thus, the correct answer is:
A. [tex]\( 78.5 \text{ in}^2 \)[/tex]
First, we know that the diameter of the circle is 10 inches.
1. Calculate the radius:
The radius is half of the diameter.
[tex]\[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{10 \text{ inches}}{2} = 5 \text{ inches} \][/tex]
2. Calculate the area:
The formula to calculate the area of a circle is given by:
[tex]\[ \text{Area} = \pi r^2 \][/tex]
where [tex]\( r \)[/tex] is the radius.
3. Substitute the value of the radius:
[tex]\[ \text{Area} = \pi \times (5 \text{ inches})^2 \][/tex]
[tex]\[ \text{Area} = \pi \times 25 \text{ inches}^2 \][/tex]
4. Using the known value of [tex]\(\pi \approx 3.14159\)[/tex], the area can be computed as:
[tex]\[ \text{Area} \approx 3.14159 \times 25 \text{ in}^2 \approx 78.54 \text{ in}^2 \][/tex]
After rounding to the nearest tenth, the area is approximately [tex]\(78.5 \text{ in}^2\)[/tex].
Thus, the correct answer is:
A. [tex]\( 78.5 \text{ in}^2 \)[/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.