# Area of Circle Formula

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## Formula

In geometry, the area of a circle can be calculated using the following formula:

**Area (A) = π x (r)^2**

Where:

**A**represents the area of the circle.**π**(pi) is a mathematical constant approximately equal to 3.14159.**r**is the radius of the circle, which is the distance from the center to the circumference.

## Example Questions and Solutions:

**Question 1:**If the radius of a circle is 5 cm, what is the area of the circle?

**Solution 1:**

A = π x (5 cm)^2 A = π x 25 cm^2 Area ≈ 3.14159 x 25 cm^2 ≈ 78.54 cm^2

**Question 2:**If the diameter of a circle is 12 m, what is the area of the circle?

**Solution 2:**

Radius (r) = Diameter (d) / 2 r = 12 m / 2 = 6 m A = π x (6 m)^2 A = π x 36 m^2 Area ≈ 3.14159 x 36 m^2 ≈ 113.10 m^2

**Question 3:**If the area of a circle is 50 square inches, what is the radius?

**Solution 3:**

r^2 = A / π r = √(A / π) r = √(50 square inches / 3.14159) r ≈ √(15.92) ≈ 3.99 inches

That's how you calculate the area of a circle using the formula, and here are solutions to three example questions. Remember, π is approximately 3.14159 for most calculations.