Math Problem Statement
What is the area of a circle if the radius is 5?
Solution
To calculate the area of a circle, we use the formula:
Where:
- is the area,
- is approximately 3.14159,
- is the radius.
Given that the radius , we can substitute this value into the formula:
Thus, the area of the circle is approximately 78.54 square units.
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Here are some related questions:
- How does changing the radius affect the area of a circle?
- What would the area be if the radius were doubled?
- How is the circumference of a circle related to the radius?
- What is the area of a circle with a radius of 10?
- How can the area formula for a circle be derived from geometry?
Tip: Remember that the area grows quadratically with the radius. Doubling the radius will quadruple the area!
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Area
Formulas
A = πr^2
Theorems
Area of a circle
Suitable Grade Level
Grades 5-7