Learn the Area of Circle Formula with explanation, derivation, solved examples, practice questions, and downloadable notes.
Where A = Area, r = Radius of the circle
| Symbol | Meaning |
|---|---|
| A | Area of the Circle |
| π | Pi (3.14159 or 22/7) |
| r | Radius of the Circle |
The Area of a Circle Formula is used to calculate the total space enclosed by the circumference of a circle. It is one of the most fundamental formulas in geometry and is widely used in mathematics, engineering, construction, architecture, and everyday calculations.
The area depends only on the radius of the circle. As the radius increases, the area increases proportionally to the square of the radius.
Imagine cutting a circle into several equal sectors and arranging those sectors alternately.
The resulting shape resembles a rectangle where:
Therefore,
Question: Find the area of a circle whose radius is 7 cm.
Given:
Radius = 7 cm
Formula:
= 22/7 × 7 × 7
Find the area of a circle whose radius is 5 cm.
Calculate the area of a circle having a radius of 14 cm.
A circular garden has a radius of 21 m. Find its area.
Find the radius of a circle whose area is 154 cm².
| Formula | A = πr² |
|---|---|
| Radius | Distance from center to circumference. |
| Diameter | 2 × Radius |
| Unit | Square Units (cm², m², km²) |
| Category | Geometry |
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