| Area of Circle: |
The area of a circle calculator helps you to calculate the area of a circle with the diameter, radius and circumference of a circle.
Area of a Circle
The area of a circle is defined as the amount of space it takes to surround the circle. It is calculated by the equation A = πr2, where A is the area, r is the radius, and π is the constant pi (approximately 3.14159).
Area of a Circle formula
The formula for the area of a circle is:
| Based on | Area of Circle |
|---|---|
| Radius | A = π(r)² = π(radius)² |
| Diameter | A = π(D/2)² = π(dimater/2)² |
| Circumference | A = C²/4π = circumference²/4π |
SolvedExample
Example.1:- The radius of a circle is 10 cm, find the area of a circle.
Answer:- Area = πr² = 22/7 * (10)² = 314.15 cm².
Example. 2 The circumference of a circle is 20 cm, find its circle area.
Answer:- Circumference of circle = 2πr = 20 cm
radius = 10/π
Area = πr² = π * (10/ π)² = 100/π = 31.83 cm².
Example.3:- The diameter of a circle is 20cm, find its area.
Answer:- diameter = radius/2 ⇨ radius = diameter/2 = 20/2 = 10 cm.
Area = πr² = π * (10)² = 314.15 cm².
FAQ
What is the area based on diameter?
Divide the diameter by 2 to obtain the radius of the circle. Then, square the radius and multiply it by π to calculate the area.
Area = π(diamter/2)²
where, π (pi) = 3.14159.