Circle Surface Area

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A circle is set of all the points that are in the same plane and equidistant from a central point. The radius of a circle is a line segment that joins center of the circle and any point on the circle. The circle surface area is the space occupied by the circle. Therefore the formula to calculate surface area of a circle is π r2. Surface area is also simply called area of the circle. This surface area is a very useful tool and may be better explained by the following examples.

Example 1: Find the surface area of a circle. The radius of the circle is 30 cm. 

Solution: For the given problem
Radius of the circle r = 30 m.
Surface area of a circle = π r2
When we replace the value of radius, we get,
Surface Area = π x 30 x 30 = 3.14 x 900 = 2826 m2.
The Surface area of the circle will be 2826 m2.

 
Example 2: A circular tank needs to be painted black. Find area of the cover of a circular tank. The radius of the tank is 10 m.

Solution: For the given problem
Radius of the tank r = 10 m
Surface area of the cover of tank = πr2
When we replace the value of the radius, we get;
Surface Area = 3.14 x 10 x 10 = 314 m2
Surface area of the cover of circular Tank is 314 m2

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