How do you calculate the area of a circle with radius 6 cm?

To calculate the area of a circle with radius 6 cm, use the formula \( A = \pi r^2 \).

The area of a circle is found using the formula \( A = \pi r^2 \), where \( A \) represents the area, \( \pi \) (pi) is a constant approximately equal to 3.14159, and \( r \) is the radius of the circle. In this case, the radius \( r \) is 6 cm.

First, square the radius: \( 6 \times 6 = 36 \). Then, multiply this result by \( \pi \): \( 36 \times \pi \approx 36 \times 3.14159 \). This gives you approximately 113.09724. Therefore, the area of the circle is about 113.1 square centimetres when rounded to one decimal place.

Remember, the key steps are: square the radius, then multiply by \( \pi \). This method works for any circle, regardless of its size. The formula \( A = \pi r^2 \) is fundamental in geometry and is essential for solving many problems involving circles.