The formula to calculate the area of a circle is:

Area = π × r^2

Where π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

So, if the radius of a circle is given as 5 cm, the area of the circle can be calculated as:

Area = π × r^2 Area = π × 5^2 Area = 3.14159 × 25 Area = 78.5398 square centimeters

Therefore, the area of the circle with radius 5 cm is 78.5398 square centimeters.

Area of circle step by step

Sure, here are the steps to calculate the area of a circle:

1. Determine the radius of the circle. This is the distance from the center of the circle to any point on its perimeter.
2. Use the formula A = πr² to find the area of the circle. “A” represents the area and “r” represents the radius of the circle.
3. Substitute the value of the radius into the formula. For example, if the radius of the circle is 5 cm, the formula becomes A = π(5)².
4. Simplify the formula using the order of operations. First, square the value of the radius to get 25. Then, multiply 25 by π to get the exact area of the circle.

Round the answer to the desired number of decimal places, if necessary. The area of a circle is typically expressed in terms of square units, such as square centimeters or square inches.

For example, if the radius of a circle is 5 cm, the area of the circle can be calculated as follows:

1. A = πr²
2. A = π(5)²
3. A = 25π
4. A ≈ 78.54 (rounded to two decimal places)

Therefore, the area of the circle with a radius of 5 cm is approximately 78.54 square centimeters.