Math Problem Statement
A circle has a radius of 7 cm. What is the area of the circle?
Solution
To find the area of a circle, you use the formula:
Where:
- is approximately 3.14159.
- is the radius of the circle.
Given that the radius , we can substitute this value into the formula:
So, the area of the circle is approximately 153.94 cm².
Would you like more details or have any questions?
Here are 5 related questions:
- What is the circumference of the same circle?
- If the radius of the circle were doubled, what would the new area be?
- How would the area change if the radius were halved?
- What is the area of a sector of the circle with a 90° angle?
- How does the area of a circle compare to the area of a square with the same perimeter?
Tip: The area of a circle grows quadratically with the radius, meaning small changes in the radius lead to larger changes in area.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Area Calculation
Formulas
Area of a circle = πr²
Theorems
Area theorem of a circle
Suitable Grade Level
Grades 6-8