Question
The diameter of a circle is 5 cm . Find its area to the nearest whole number.
Ask by Bond Rose. in the United States
Mar 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area of the circle is approximately 20 cm².
Solution
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The Deep Dive
To find the area of a circle, you can use the formula: Area = πr², where r is the radius. Since the diameter is 5 cm, the radius is half of that, so r = 2.5 cm. Plugging that into the formula: Area = π(2.5)² = π(6.25) ≈ 19.63 cm². Rounding to the nearest whole number gives you an area of approximately 20 cm².
Did you know that the concept of circles dates back to ancient civilizations? The Babylonians and Egyptians had an understanding of circles and even approximated π (pi) to be about 3.16! Just imagine them measuring circular fields or constructing round structures without the tools we have today!
If you’re ever calculating areas, don’t forget to keep your order of operations in mind! A common mistake is forgetting to square the radius first before multiplying by π. Also, if you’re working with different measurements, always ensure you’re using the same unit across the board to avoid any confusion. Happy calculating!
