Question
The radius of a circle is 4 m . Find its area to the nearest whole number.
Ask by Stuart Clarke. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area of the circle is approximately 50 m².
Solution
The formula for the area of a circle is A = πr². With a radius (r) of 4 m, we have:
A = π(4)² = 16π
Using π ≈ 3.14,
A ≈ 16 × 3.14 = 50.24 m²
Rounded to the nearest whole number, the area is approximately 50 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. For a circle with a radius of 4 m, the area would be A = π(4 m)² = π(16 m²). If we take π as approximately 3.14, the area comes out to about 50.24 m². Rounded to the nearest whole number, the area is 50 m². Circle area calculations have been around for thousands of years! Ancient civilizations like the Babylonians and Egyptians used early approximations of π to solve practical problems, from building structures to land surveying. So next time you find the area of a circle, you’re echoing the math moves of history’s finest minds!
