Math Problem Statement
The area of a circle can be found by evaluating the expression \pi r^{2}
where r
represents the radius of the circle.
Find the area of a circle with a radius of 7
Hint: Which should you do first? \pi\cdot r
or r^{2}
Solution
To find the area of a circle using the formula:
where is the radius, follow these steps:
-
First, square the radius . For a circle with radius :
-
Then, multiply by :
So, the exact area is .
To approximate the area using :
Thus, the approximate area of the circle is square units.
Would you like to go over any part in more detail?
Here are 5 related questions for further practice:
- What is the area of a circle with a radius of 10?
- How would the area change if the radius was doubled?
- What happens to the area if the radius is halved?
- If the area of a circle is , what is the radius?
- Can you find the circumference of a circle with a radius of 7?
Tip: Always remember to square the radius first before multiplying by when finding the area of a circle.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of a Circle
Formulas
Area of a circle: A = πr²
Theorems
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Suitable Grade Level
Grades 6-8