Question
Question 7 Points 1 The radius of a circle is 5 feet. What is the area of the circle? Use pi \( = \) \( \begin{array}{l}\text { Reset } \\ 3.14\end{array} \)
Ask by Lane Wagner. in the United States
Jan 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area of the circle is 78.5 square feet.
Solution
To find the area of a circle, you can use the formula:
\[
\text{Area} = \pi r^2
\]
where:
- \( \pi \) (pi) is approximately 3.14
- \( r \) is the radius of the circle
**Given:**
- Radius (\( r \)) = 5 feet
- \( \pi = 3.14 \)
**Calculation:**
1. **Square the radius:**
\[
r^2 = 5^2 = 25
\]
2. **Multiply by \( \pi \):**
\[
\text{Area} = 3.14 \times 25 = 78.5 \text{ square feet}
\]
**Answer:**
\[
\text{The area of the circle is } 78.5 \text{ square feet.}
\]
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Simplify this solution Extra Insights
To find the area of the circle, you can use the formula \( A = \pi r^2 \). Plugging in the values, \( A = 3.14 \times (5)^2 \). This gives you \( A = 3.14 \times 25 = 78.5 \) square feet. So, the area of the circle is 78.5 square feet! Calculating the area of circles is not just a math exercise; it's used in various real-world contexts! For example, when designing a circular garden or a round swimming pool, knowing the area helps determine how much material you'll need or how many plants will fit in your space. Isn’t that cool?
