Showing posts with label Semi Circle. Show all posts
Showing posts with label Semi Circle. Show all posts

Friday, October 5, 2012

Semi Circle Math Definitions

Introduction of Semi circle math definitions:

Another name of the semi circle is half of the  circle. The diameter of a circle is the distance from a one point on the sphere to an end point pi Radians, and is the distance from one point on a sphere to another.


If r is the semi circle radius, then d = 2r. d is the diameter of the semi circle.

Example for Semi Circle in Math Definitions:

Semi circle- Example 1 in math definitions:

Find the diameter of a semi circle given that its radius is 5

Solution:

The diameter is always multiply by 2 the length of the radius,

Diameter = 2 x 5 = 10

Semi circle- Example 2 in math definitions:

Find the diameter of a semi circle known that area of the semi circle is 153.86

Solution:

Step 1:

Find the radius of the semi circle

`( pi . r^2)/2` = 153.86

`(r^2)/2` = `153.86 / 3.14`

`(r^2)/2`   = 49

r2 = 49 x 2  = 9.899



Step 2:

Then calculate the diameter of the semi circle,

Diameter = 2 * r

=  2 * 9.899

= 19.79800

Therefore, the diameter of the semi circle is 19.798.

Semi circle- Example 3 in math definitions:

Find the diameter of a semi circle known that its radius is 6

Solution:

The diameter is always multiply by 2 the length of the radius,

Diameter = 2 x 6 = 12

Semi circle- Example 4 in math definitions:

Find the diameter of a semi circle known that area of the semi circle is 133.04

Solution:

Step 1:

Find the radius of the semi circle

` (pi . r^2)/2` = 113.04

`(r^2)/2` = `113.04 / 3.14`

r2  = 36 x 2 = 72

r = 8.485

Step 2:

Then calculate the diameter of the semi circle,

Diameter = 2 * r

=  2 *8.485

= 16.97

Therefore, the diameter of the semi circle is 16.97.

Semi circle- Example 5 in math definitions:

Find the diameter of a semi circle known that its radius is 8

Solution:

The diameter is always multiply by 2 the length of the radius,

Diameter = 2 x 8 = 16

Semi circle- Example 6 in math definitions:

Find the diameter of a semi circle known that its radius is 21

Solution:

The diameter is always multiply by 2 the length of the radius,

Diameter = 2 x 21 = 42

Semi circle- Example 7 in math definitions:

Find the diameter of a semi circle known that area of the circle is 1384.74

Solution:

Step 1:

Find the radius of the circle

`(pi . r^2)/2` = 1384.74

r2/2 = 1384.74 / 3.14

r2  = 441 x 2

r2 =  882

r   = 29.698



Step 2:

Then calculate the diameter of the circle,

Diameter = 2 * r

=  2 * 29.698

= 59.396

Therefore, the diameter of the semi circle is 59.396.

Semi circle- Example 8 in math definitions:

Find the diameter of a semi circle known that its radius is 32

Solution:

The diameter is always multiply by 2 the length of the radius,

Diameter = 2 x 32 = 64

Semi circle- Example 9 in math definitions:

Find the diameter of a semi circle known that its radius is42

Solution:

The diameter is always multiply by 2 the length of the radius,

Diameter = 2 x 42 = 84

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Practice Problems for Semi Circle in Math Definitions:

Practice Problem 1:

Find the diameter of a semi circle known that its radius is100

Answer:

200

Practice Problem 2:

Find the diameter of a semi circle known that area of the semi circle is 530.66

Answer:

36.768