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

  1. 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.

  1. Substitute the value of the radius

Given that the radius ( r ) is 8, we will substitute this value into the formula:

$$ A = \pi (8)^2 $$

  1. Calculate the square of the radius

Now, we calculate ( (8)^2 ):

$$ (8)^2 = 64 $$

So, we now have:

$$ A = \pi \times 64 $$

  1. 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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