he radius of a circle is 1 centimetre. What is the circle's area?

To find the area of a circle, you can use the formula:

\[
A = \pi r^2
\]

where:
- \( A \) is the area of the circle.
- \( r \) is the radius of the circle.

Given that the radius \( r = 1 \) cm, we can substitute this value into the formula:

\[
A = \pi (1)^2 = \pi \times 1 = \pi
\]

Therefore, the area of the circle is:

\[
A = \pi \, \text{square centimeters}
\]

Using the approximate value of \( \pi \approx 3.1416 \):

\[
A \approx 3.1416 \, \text{square centimeters}
\]

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. What would the area be if the radius of the circle were doubled?
2. How does the circumference of the circle compare to its area?
3. What is the relationship between the diameter and the area of a circle?
4. How do you calculate the area of a sector of a circle?
5. What would the area be if the circle's radius were increased by 50%?

**Tip:** Remember that the area of a circle increases with the square of the radius, which means even a small increase in the radius can significantly increase the area.

Learn how to calculate the area of a circle with a radius of 1 centimeter using the formula A = πr^2. This problem explores basic geometry concepts related to circles and provides a step-by-step solution. Suitable for students in Grades 6-8.

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