Find the area of elliptical segment “V” if the major radius of ellipse is 4 inches, minor radius of ellipse is 3 inches, dimensional X=2.36 inches, dimension Y=2.42 inches.
Question
Find the area of elliptical segment “V” if the major radius of ellipse is 4 inches, minor radius of ellipse is 3 inches, dimensional X=2.36 inches, dimension Y=2.42 inches.
Solution
To find the area of elliptical segment "V," we can follow these steps:
-
Calculate the angle of the elliptical segment:
- Use the formula: angle = 2 * arctan(Y / X)
- Substitute the given values: angle = 2 * arctan(2.42 / 2.36)
-
Calculate the area of the elliptical segment:
- Use the formula: area = (angle / 360) * π * a * b
- Substitute the given values: area = (angle / 360) * π * 4 * 3
-
Calculate the final area:
- Round the calculated area to the desired precision.
By following these steps, you can find the area of elliptical segment "V" with the given dimensions.
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