Thank you for visiting A circle has an approximate radius of 20 cm The area is best estimated as 1 62 8 cm² 2 314 0 cm² 3 1256. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The best estimate for the area of a circle with an approximate radius of 20 cm is 1256.0 cm², calculated using the formula A = πr² and rounding based on significant figures.
Explanation:
The area of a circle is calculated using the formula A = πr², where A is the area, π is a constant approximately equal to 3.14159, and r is the radius. Given that a circle has an approximate radius of 20 cm, its area can be estimated using the provided radius.
To find the area, we substitute the value for the radius into the formula:
A = π(20 cm)² ≈ 3.14159 × (400 cm²) ≈ 1256.0 cm²
Thus, the best estimate for the area of a circle with a radius of approximately 20 cm is 1256.0 cm², which corresponds to option 3 in the multiple-choice answers provided.
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