Find the area of the following plane figure.
An ellipse has a major axis of 14 cm and a minor axis of 10 cm. Find its area.
Area (to the nearest tenth) =
The answer is 109.9
Area of ellipse = abπ
where a and b are 1/2 of the axes respectively,
that is,
a = 7, b = 5
To find the area of an ellipse, you can use the formula:
Area = π * (major axis length/2) * (minor axis length/2)
Given that the major axis length is 14 cm and the minor axis length is 10 cm, we can substitute these values into the formula:
Area = π * (14/2) * (10/2)
Simplifying further:
Area = π * 7 * 5
= 35π
Now, to find the approximate value, you can use the value of π as 3.14159:
Area ≈ 35 * 3.14159
≈ 109.955 cm²
Therefore, to the nearest tenth, the area of the ellipse is approximately 110.0 cm².
To find the area of an ellipse, you can use the formula:
Area = π * (major axis/2) * (minor axis/2)
In this case, the major axis is 14 cm and the minor axis is 10 cm, so we plug these values into the formula:
Area = π * (14/2) * (10/2)
Simplifying, we get:
Area = π * 7 * 5
To get the approximate value, we can use the value of π as 3.14:
Area ≈ 3.14 * 7 * 5
Area ≈ 109.9
Therefore, the area of the ellipse is approximately 109.9 square cm.