Fiona Draws A Circle With A Diameter Of 14 Meters. What Is The Area Of Fiona's Circle?A. \[$7 \pi \, \text{m}^2\$\] B. \[$14 \pi \, \text{m}^2\$\] C. \[$28 \pi \, \text{m}^2\$\] D. \[$49 \pi \, \text{m}^2\$\]
What is the Area of a Circle?
The area of a circle is a fundamental concept in mathematics that is used to calculate the amount of space inside a circle. It is an essential concept in geometry and is used in various real-world applications, such as architecture, engineering, and design.
What is the Formula for the Area of a Circle?
The formula for the area of a circle is given by:
A = πr^2
Where:
- A is the area of the circle
- π (pi) is a mathematical constant approximately equal to 3.14
- r is the radius of the circle
How to Calculate the Area of a Circle
To calculate the area of a circle, you need to know the radius of the circle. If you know the diameter of the circle, you can easily find the radius by dividing the diameter by 2.
Example: Calculating the Area of a Circle with a Given Diameter
Let's say Fiona draws a circle with a diameter of 14 meters. To find the area of the circle, we need to find the radius first.
Step 1: Find the Radius
The radius of the circle is half of the diameter. So, we divide the diameter by 2 to get the radius.
Radius = Diameter / 2
Radius = 14 / 2
Radius = 7 meters
Step 2: Calculate the Area
Now that we have the radius, we can calculate the area of the circle using the formula:
A = πr^2
A = π(7)^2
A = 3.14(49)
A = 153.86 square meters
What is the Correct Answer?
Based on our calculation, the correct answer is:
A = 153.86 square meters
However, since the options are given in terms of π, we can express the answer as:
A = 49Ï€ square meters
Conclusion
Calculating the area of a circle is a simple process that involves finding the radius and using the formula A = πr^2. By following these steps, you can easily calculate the area of a circle with a given diameter or radius.
Frequently Asked Questions
Q: What is the formula for the area of a circle?
A: The formula for the area of a circle is A = πr^2.
Q: How do I calculate the area of a circle if I know the diameter?
A: To calculate the area of a circle if you know the diameter, you need to find the radius first by dividing the diameter by 2. Then, use the formula A = πr^2 to calculate the area.
Q: What is the correct answer for the area of a circle with a diameter of 14 meters?
A: The correct answer is A = 49Ï€ square meters.
Q: Can I use a calculator to calculate the area of a circle?
A: Yes, you can use a calculator to calculate the area of a circle. Simply enter the value of the radius and the value of π, and the calculator will give you the area.
Q: What is the unit of measurement for the area of a circle?
A: The unit of measurement for the area of a circle is square meters (m^2).