Area of a circle with a radius of 8
Understand the Problem
The question is asking for the area of a circle given its radius, which is 8. To solve this, we can use the formula for the area of a circle, A = πr², where r is the radius.
Answer
The area of the circle is \( 64\pi \).
Answer for screen readers
The area of the circle is ( 64\pi ).
Steps to Solve
- Identify the formula for the area of a circle
We will use the formula for the area of a circle, which is given by:
$$ A = \pi r^2 $$
where ( A ) is the area and ( r ) is the radius.
- Substitute the value of the radius
Given that the radius ( r ) is 8, we will substitute this value into the formula:
$$ A = \pi (8)^2 $$
- Calculate the square of the radius
Now, we calculate ( (8)^2 ):
$$ (8)^2 = 64 $$
So, we now have:
$$ A = \pi \times 64 $$
- Multiply by pi
Finally, we multiply by ( \pi ) to find the area:
$$ A = 64\pi $$
The area of the circle is ( 64\pi ).
More Information
In numerical terms, the area of the circle can be approximated by using ( \pi \approx 3.14 ). Thus, ( 64\pi \approx 200.96 ). The area is important in various applications like designing circular objects, calculating land area, etc.
Tips
- Forgetting to square the radius when calculating the area.
- Misunderstanding the value of ( \pi ) and using an incorrect approximation.
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