In geometry, an ellipse is a plane curve that is formed as a result of
conic section (ie) the intersection of a cone by a plane produces a
closed curve called ellipse the figure is shown below.
Area of Ellipse = `pi` * length of major axis * length of minor axis
in other words
Area of the ellipse = `pi` * w * h
Calculate the area of the ellipse where the major radius is 5 cm and minor radius is 3 cm.
Solution:
w = 5 h= 3
Area of the ellipse = `pi` * 5 * 3
= 3.14 * 5 * 3
= 47.1 cm2
Example: 2
Calculate the area of the ellipse where the major radius is 6 cm and minor radius is 3 cm.
Solution:
w = 6 h= 3
Area of the ellipse = `pi` * 6 * 3
= 3.14 * 6 * 3
= 56.52 cm2
Example: 3
Calculate the area of the ellipse where the major radius is 4 cm and minor radius is 2 cm.
Solution:
w = 4 h= 2
Area of the ellipse = `pi` * 4 * 2
= 3.14* 4* 2
= 25.12 cm2
Example: 4
Calculate the area of the ellipse where the major radius is 7 cm and minor radius is 3 cm.
Solution:
w = 7 h= 3
Area of the ellipse = `pi` * 7 * 3
= 3.14 * 7 * 3
= 65.94 cm2
Example: 5
Calculate the area of the ellipse where the major radius is 8 cm and minor radius is 3 cm.
Solution:
w = 8 h= 3
Area of the ellipse = `pi` * 8 * 3
= 3.14 * 8 * 3
= 75.36 cm2
I am planning to write more post on The Exponential Function and samacheer kalvi tamil book. Keep checking my blog.
Example: 6
Calculate the area of the ellipse where the major radius is 4 cm and minor radius is 3 cm.
Solution:
w = 4 h= 3
Area of the ellipse = `pi` * 4 * 3
= 3.14 * 4* 3
= 37.68 cm2
Ellipse
has one major axis and one minor axis. Circle is a special case of
ellipse where the major axis and minor axis are same. Here in this topic
we are going to see more problems regarding area of ellipse.
Formula for area of the ellipse:
Area of Ellipse = `pi` * length of major axis * length of minor axis
in other words
Area of the ellipse = `pi` * w * h
Area of the Ellipse - Example problems:
Example: 1Calculate the area of the ellipse where the major radius is 5 cm and minor radius is 3 cm.
Solution:
w = 5 h= 3
Area of the ellipse = `pi` * 5 * 3
= 3.14 * 5 * 3
= 47.1 cm2
Example: 2
Calculate the area of the ellipse where the major radius is 6 cm and minor radius is 3 cm.
Solution:
w = 6 h= 3
Area of the ellipse = `pi` * 6 * 3
= 3.14 * 6 * 3
= 56.52 cm2
Example: 3
Calculate the area of the ellipse where the major radius is 4 cm and minor radius is 2 cm.
Solution:
w = 4 h= 2
Area of the ellipse = `pi` * 4 * 2
= 3.14* 4* 2
= 25.12 cm2
Example: 4
Calculate the area of the ellipse where the major radius is 7 cm and minor radius is 3 cm.
Solution:
w = 7 h= 3
Area of the ellipse = `pi` * 7 * 3
= 3.14 * 7 * 3
= 65.94 cm2
Example: 5
Calculate the area of the ellipse where the major radius is 8 cm and minor radius is 3 cm.
Solution:
w = 8 h= 3
Area of the ellipse = `pi` * 8 * 3
= 3.14 * 8 * 3
= 75.36 cm2
I am planning to write more post on The Exponential Function and samacheer kalvi tamil book. Keep checking my blog.
Example: 6
Calculate the area of the ellipse where the major radius is 4 cm and minor radius is 3 cm.
Solution:
w = 4 h= 3
Area of the ellipse = `pi` * 4 * 3
= 3.14 * 4* 3
= 37.68 cm2
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