Math Problem Statement
Use βπ β 3.14 and round your answer to the nearest hundredth The radius of a circle is 1 meter. What is the circle's area?
Solution
The area of a circle is calculated using the formula:
Given that the radius meter and using , we substitute:
So, the area of the circle is 3.14 square meters.
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Here are some related questions:
- What is the circumference of a circle with a radius of 1 meter?
- How does increasing the radius affect the area of a circle?
- If the radius were doubled, what would the new area be?
- How is the area formula derived from calculus?
- What is the difference between area and circumference in terms of growth?
Tip: The area of a circle increases quadratically with the radius, meaning if you double the radius, the area becomes four times larger!
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Circle
Pi
Formulas
A = Οr^2
Theorems
Area of a Circle Formula
Suitable Grade Level
Grades 6-8