Area of a circle with radius 10.
Understand the Problem
The question is asking for the area of a circle given its radius, which is 10. To solve this, we will use the formula for the area of a circle, A = πr², where r is the radius.
Answer
The area of the circle is \( 100\pi \).
Answer for screen readers
The area of the circle is ( A = 100\pi ).
Steps to Solve
- Identify the radius
The radius of the circle is given as $r = 10$.
- Use the area formula for a circle
The formula for the area of a circle is given by:
$$ A = \pi r^2 $$
- Substitute the radius into the formula
We will substitute the value of the radius into the formula:
$$ A = \pi (10)^2 $$
- Calculate the area
Now, calculate the area:
$$ A = \pi \times 100 $$
- Final calculation
We can express the area as:
$$ A = 100\pi $$
The area of the circle is ( A = 100\pi ).
More Information
The area of a circle is directly proportional to the square of its radius. This means that if the radius doubles, the area increases by a factor of four!
Tips
- A common mistake is forgetting to square the radius when calculating the area. Always remember that the formula has a square, ( r^2 ).
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