Area of a Circle
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Definition of Area of a Circle
Area of a Circle is the amount of space occupied by the circle.
More About Area of a Circle

Area of a circle of radius r is given by = πr^{2}.
Examples of Area of a Circle
Area of a circle = πr^{2} = π(6)^{2} = 36π cm^{2} or 113.04 cm^{2}. [Use π = or 3.14]
Video Examples: Area of a Circle
Solved Example on Area of a Circle
Ques:
Find the area of a circle, if the diameter of the circle is 4 cm. [Use π = 3.14]
Choices:
A. 25.12 cm^{2}B. 6.28 cm^{2}
C. 12.46 cm^{2}
D. 12.56 cm^{2}
Correct Answer: D
Solution:

Step 1: Let r be radius of the circle.
Step 2: Diameter of the circle = 2r
Step 3: 4 = 2 × r.
Step 4: r = 4/2 = 2 cm
Step 5: Area of the circle = π × r2 [Formula.]
Step 6: Area of the circle = 3.14 × 4 = 12.56 [Substitute the values of π and r.]
Step 7: So, the area of the circle is 12.56 cm^{2}
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