Question
Question The diameter of a circle is 25 m . Find its area to the nearest whole number.
Ask by Hardy Harris. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area of the circle is approximately 491 m².
Solution
To find the area of a circle, we can use the formula:
\[ \text{Area} = \pi \times \left( \frac{\text{Diameter}}{2} \right)^2 \]
Given that the diameter of the circle is 25 m, we can substitute this value into the formula to find the area.
Let's calculate the area of the circle using the given diameter.
Calculate the value by following steps:
- step0: Calculate:
\(\pi \left(\frac{25}{2}\right)^{2}\)
- step1: Evaluate the power:
\(\pi \times \frac{625}{4}\)
- step2: Multiply:
\(\frac{625\pi }{4}\)
The area of the circle with a diameter of 25 m is approximately 490.873852 m².
Rounding this to the nearest whole number, the area of the circle is approximately 491 m².
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Simplify this solution Bonus Knowledge
To find the area of a circle, you can use the formula A = πr², where r is the radius. With a diameter of 25 m, the radius is 12.5 m. Plugging that into the formula gives you A = π(12.5)² ≈ 490.87 m². Rounding to the nearest whole number, the area is approximately 491 m². Just picture that area! It’s like laying out a huge picnic blanket for you and your friends under a big, sunny sky. With plenty of space for all the delicious snacks, games, and maybe even a frisbee fight—what a fun day that would be!
