What is the area of a circle with a radius of 7 meters?
Understand the Problem
The question is asking for the calculation of the area of a circle using the given radius of 7 meters. To find the area, we will use the formula A = πr², where π is approximately 3.14. We will substitute the radius into the formula and solve it step by step.
Answer
$153.86$ square meters
Answer for screen readers
The area of the circle is approximately $153.86$ square meters.
Steps to Solve
- Write down the formula for the area of a circle
The formula to calculate the area $A$ of a circle is given by
$$ A = \pi r^2 $$
where $r$ is the radius.
- Substitute the radius into the formula
We are given a radius of 7 meters. Plug this value into the formula:
$$ A = \pi (7)^2 $$
- Calculate the square of the radius
Now calculate $7^2$:
$$ 7^2 = 49 $$
- Multiply by π
Next, we substitute the squared radius back into the area formula with the approximate value of π:
$$ A \approx 3.14 \times 49 $$
- Perform the final multiplication
Now perform the multiplication:
$$ A \approx 3.14 \times 49 = 153.86 $$
The area of the circle is approximately $153.86$ square meters.
More Information
The area of a circle is an important concept in geometry, often used in various fields such as engineering, architecture, and even in nature when calculating land areas.
Tips
- A common mistake is not squaring the radius correctly. Remember that $7^2$ must be calculated first before multiplying by π.
- Another mistake could be using an inaccurate value for π. Make sure to use $3.14$ or the value provided in the problem.
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