Question
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The radius of a circle is 21 m . Find its area to the nearest whole number,

Ask by Cross Hampton. in the United States
Mar 24,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The area of the circle is approximately 1385 m².

Solution

Calculate or simplify the expression .
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Evaluate the power:
  • step2: Multiply:

    The area of the circle with a radius of 21 m is approximately 1385.44 m².
To find the area to the nearest whole number, we round 1385.44 to the nearest whole number, which is 1385 m².

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The Deep Dive

To find the area of a circle, you can use the formula A = πr², where ‘r’ is the radius. In this case, with a radius of 21 m, the area would be A = π(21)². Doing the math, 21² equals 441. Multiplying that by π (approximately 3.14), you get about 1385.44. Rounding it to the nearest whole number, the area is approximately 1385 m².
But did you know that circles have been an important shape throughout history? Ancient civilizations used circles in architecture and art, signifying harmony and unity. The ancient Greeks, for example, viewed the circle as a symbol of perfection, and this perspective influenced their designs in monuments and temples, showcasing the significance of circular shapes even in our modern world!
Now, onto the real-world application: Understanding how to calculate the area of circles is essential in various fields, from engineering to landscaping. Imagine designing a circular garden or a fountain; knowing the area helps you plan how much soil or water you’ll need. This knowledge makes it easier to ensure every project runs smoothly and efficiently, making your outdoor spaces beautiful and functional!

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