The diameter of a circle is 15cm Find the area of the circle

The formula to find the area \( A \) of a circle is:

\[
A = \pi r^2
\]

where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter is 15 cm, the radius \( r \) is:

\[
r = \frac{15}{2} = 7.5 \, \text{cm}
\]

Now, substitute \( r \) into the formula for the area:

\[
A = \pi (7.5)^2 = \pi \times 56.25 \, \text{cm}^2
\]

Approximating \( \pi \) as 3.1416:

\[
A \approx 3.1416 \times 56.25 \approx 176.71 \, \text{cm}^2
\]

So, the area of the circle is approximately **176.71 cm²**.

Would you like more details or have any questions?

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Here are 5 related questions to expand your understanding:
1. What is the circumference of a circle with a diameter of 15 cm?
2. How would the area change if the diameter doubled?
3. What is the area of a circle with a radius of 10 cm?
4. How is the formula for the area of a circle derived?
5. What is the area of a sector with a 90° angle from the same circle?

**Tip:** Always remember that the radius is half the diameter when working with circle formulas!

The diameter of a circle is 15cm. Find the area of the circle.

Learn how to find the area of a circle with a diameter of 15 cm using the formula A = πr^2. This step-by-step solution explains the concept of radius, how to apply the formula, and provides an approximate area of 176.71 cm². Ideal for students in Grades 6-8.

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