Friday, March 1, 2013

learning diameter

In geometry, the diameter is a  circle is any straight line segment that passes through the center of the circle and whose endpoints are on the circle. The diameters are the longest chords of the circle. In more modern usage, the length of a diameter is also called the diameter. In this sense one speaks of the diameter rather than a diameter, because all diameters of a circle have the same length, this being twice the radius.


The diameter Formula;


The diameter of circle:

Diameter of circle = 2 * r.

where, r is radius of the circle.


Problems to learning diameter


Example in diameter learning 1:

Find the area, diameter and circumference of circle and with the radius of 4cm.

Solution:

1.The area of circle:

Area of circle = ∏ *r*r.

=(3.14)*4*4.

= 50.24 cm2.

2.The diameter of circle:

Diameter of circle = 2*r.

= 2* 4.

= 8cm.

3.The circumference of circle:

Circumference of circle = ∏ * d.

= (3.14)* 8.

= 25.12cm.


Example in diameter learning 2:

Find the diameter of a circle if the radius is 35centimeter.

Solution:

Given radius = 35

Diameter =?

Diameter = radius * 2

= 35 * 2

= 70

So the diameter of the given circle is 70 centimeter.

Example in diameter learning 3:

Find the diameter of a circle if the radius is 44 centimeter.

Solution:
Given radius = 44

Diameter =?

Diameter = radius * 2

= 44 * 2

= 88

So the diameter of the given circle is 88 centimeter.

Example  in diameter learning 5:

Find the diameter of a circle if the radius is 25 centimeter.

Solution:

Given radius = 25

Diameter =?

Diameter = radius * 2

= 25 * 2

= 50

So the diameter of the given circle is 46 centimeter.

Example in diameter learning 6:

Find the diameter of a circle if the radius is 70 centimeter.

Solution:

Given radius = 70

Diameter =?

Diameter = radius * 2

= 70 * 2

= 140

So the diameter of the given circle is 140 centimeter.

Example  Circumference to Diameter learning 7:

Find the diameter of a circle if a radius is 10 centimeter.

Solution:


Given radius = 10

Diameter =?

Diameter = radius * 2

= 10 * 2

= 20

So the diameter of the given circle is 8 centimeter.

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