Area of a circle with a radius of 2.

Understand the Problem

The question is asking for the calculation of the area of a circle given its radius. The formula for the area of a circle is A = πr², where r is the radius. In this case, we will substitute r with 2 to find the area.

Answer

The area of the circle is $4\pi$ square units.
Answer for screen readers

The area of the circle is $4\pi$ square units.

Steps to Solve

  1. Identify the formula for the area of a circle

We need to 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 radius into the formula

Now we will substitute the given radius value of $r = 2$ into the formula.

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

  1. Calculate the radius squared

Next, we need to perform the square of the radius:

$$ (2)^2 = 4 $$

So the equation now becomes:

$$ A = \pi \cdot 4 $$

  1. Multiply by π to find the area

Finally, we will multiply π by 4 to find the area:

$$ A = 4\pi $$

So the area of the circle is expressed as $4\pi$ square units.

The area of the circle is $4\pi$ square units.

More Information

The area $4\pi$ can be approximated as about 12.57 square units when using $ \pi \approx 3.14$. The area gives us a measure of space occupied by the circle, making it useful in various applications such as architecture and engineering.

Tips

  • Neglecting to square the radius when calculating the area. Always remember that the formula requires you to square the radius before multiplying by π.
  • Using an incorrect value for π. Always check if you are using the value of π as 3.14 or use the π button on a calculator for more precision.

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