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

$A = \pi r^2$

Where:

• $A$ is the area,
• $r$ is the radius, and
• $\pi \approx 3.1416$.

The radius is half of the diameter, so for a diameter of 26 cm:

$r = \frac{26}{2} = 13 \, \text{cm}$

Now, substitute $r = 13$ into the area formula:

$A = \pi \times (13)^2 = 3.1416 \times 169 \approx 531.94$

Rounding to the nearest whole number:

$A \approx 532 \, \text{cm}^2$

So, the area of the circle is approximately 532 cm².

Would you like further details or have any other questions?

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Here are 5 related questions:

1. What is the circumference of the same circle?
2. How would the area change if the diameter doubled?
3. How do you calculate the radius if only the area is known?
4. What is the formula for the area of a sector of a circle?
5. How does the area of a circle relate to its circumference?

Tip: The area of a circle grows quadratically with its radius. Doubling the radius will quadruple the area.