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Tuesday, July 13, 2010

Area of Circle


Area of a Circle:

Draw a circle. Divide it into equal (even) sectors and arrange them in line as shown below.

This shape looks like a rectangle of length 'pr' and breath 'r' units
Let us now learn about the area of a circle in detail.
Area of the circle = Area of the rectangle

= length x breadth

= ∏ r x r

= ∏ r2 Sq. units
Next in this Blog let us look at the formula of the Areas of a circle.
Area of a circle Formula is ∏ r2 Sq. units

Area of a semicircle = 21 ∏ r2 Sq. units

Area of a quadrant = 41 ∏ r2 Sq. units.
The last topic that we will learn about in this area of the Circles Problems,and we will also see the various how we can solve these problems.
Problems related to area of A Circle:If the area of the sector of a circle is 60 sq. cm and the length of the arc of the sector is 12 cm, what is the radius of the circle?

Solution:

Area of the sector = 1 lr = 60 cm2
2

l = 12cm.
A = 1 x 12 x r = 60
2

6r = 60

r = 10 cm.

The radius of the circle is 10 cm.

Hope you like the above example of Area of a Circle.Please leave your comments, if you have any doubts.

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