Friday, September 7, 2012

Definition of Congruent Circles

Introduction to definition of congruent circles

The circle is the position of every point on a plane of unchanging hole as of middle. Subsequently the circle is an important form within the geometry. If two geometric things are congruent to all other, they consist of the same measurements. Two circles are congruent if they consist of the equivalent size. The size can be considered as the radius, diameter otherwise circumference. Let us see about the definition of congruent triangles.

Definition of Congruent Circles

The two circles contain the equivalent size then the circles are identified as the congruent circles. For example, a circle through a diameter of 5 units will be congruent through any other circle to include a diameter of 5 units. Each of the other measurements of the circles will be the same. Congruence is notated via a sign to looks similar to an equivalent sign (=) through a tilde (~) on apex of it.
In the above figure the diameter AB = CD = 10 cm

Therefore the two circles are congruent.

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Examples for Definition of Congruent Circles

Example 1 for definition of congruent circles

Find the two circles are congruent
Solution

Given

The diameter AB = CD = 16 cm

Therefore the radius of the circle AP = PB = CQ = QD = 8 cm

The radius of the two circles is same.

Two circles are congruent if they consist of the equivalent size. The size can be considered as the radius, diameter.

Therefore the given two circles are congruent.

Example 2 for definition of congruent circles

If the diameter of the circle is 12 cm then find the area of the circles
Solution

The diameter AB = CD = 12 cm

Two circles are congruent if they consist of the equivalent size

Area of the circle = ?r2

Diameter of the circle is 12 cm

Therefore the radius of the circle r = `12/2`

r = 6 cm

Area of the circle = 3.14 x 62

= 3.14 x 36

Area of the circle = 113.04 cm2

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