Math Problem Statement
calculate area of an circle of radius = 1
Solution
To calculate the area of a circle, we use the formula:
where:
- is the area,
- is the radius of the circle,
- .
Given that the radius , we substitute that into the formula:
So, the area of the circle is approximately:
Would you like more details on how this formula is derived or have any further questions on circles?
Here are 5 related questions you might find interesting:
- How does the area of a circle change if the radius doubles?
- What is the formula for the circumference of a circle?
- How do you calculate the area of a sector of a circle?
- How is the area of a circle related to its circumference?
- How do you calculate the volume of a sphere with radius 1?
Tip: To get a quick estimate of , you can use , which is a common approximation.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Circle
Formulas
A = πr^2
Theorems
Formula for the area of a circle
Suitable Grade Level
Grades 5-7