The area of a circle can be found by evaluating the expression `\pi r^{2}` where `r` represents the radius of the circle.



Find the area of a circle with a radius of `7`



Hint: Which should you do first? `\pi\cdot r`or `r^{2}`

To find the area of a circle using the formula:

\[
A = \pi r^2
\]

where \( r \) is the radius, follow these steps:

1. First, square the radius \( r \).
   For a circle with radius \( r = 7 \):
   \[
   r^2 = 7^2 = 49
   \]

2. Then, multiply by \( \pi \):
   \[
   A = \pi \times 49
   \]

So, the exact area is \( 49\pi \).

To approximate the area using \( \pi \approx 3.1416 \):

\[
A \approx 49 \times 3.1416 = 153.9384
\]

Thus, the approximate area of the circle is \( 153.94 \) square units.

Would you like to go over any part in more detail?

Here are 5 related questions for further practice:
1. What is the area of a circle with a radius of 10?
2. How would the area change if the radius was doubled?
3. What happens to the area if the radius is halved?
4. If the area of a circle is \( 78.5 \), what is the radius?
5. Can you find the circumference of a circle with a radius of 7?

**Tip:** Always remember to square the radius first before multiplying by \( \pi \) when finding the area of a circle.

Find the area of a circle with a radius of 7. Hint: Which should you do first? π·r or r²?

Learn how to calculate the area of a circle with a radius of 7 using the formula A = πr². Understand key geometry concepts and get step-by-step guidance for solving this problem. Suitable for Grades 6-8. Includes practice questions for further learning.

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