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 = Ï€rÂ², 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
- 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.
- Substitute the radius into the formula
Now we will substitute the given radius value of $r = 2$ into the formula.
$$ A = \pi (2)^2 $$
- Calculate the radius squared
Next, we need to perform the square of the radius:
$$ (2)^2 = 4 $$
So the equation now becomes:
$$ A = \pi \cdot 4 $$
- Multiply by Ï€ to find the area
Finally, we will multiply Ï€ 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 Ï€.
- Using an incorrect value for Ï€. Always check if you are using the value of Ï€ as 3.14 or use the Ï€ button on a calculator for more precision.