Enter the degree of the sector and the radius of the circle into the calculator to determine the area of the fractional part of the circle. This calculator can also evaluate any of the variables given the others are known.
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Fractional Part Of A Circle Formula
The following formula is used to calculate the fractional part of a circle.
F = (d / 360) * pi * r^2
Variables:
- F is the area of the fractional part of the circle
- d is the degree of the sector
- pi is a constant approximately equal to 3.14159 r is the radius of the circle
To calculate the fractional part of a circle, divide the degree of the sector by 360. Multiply the result by ? and the square of the radius of the circle. The result is the area of the fractional part of the circle.
What is a Fractional Part Of A Circle?
A fractional part of a circle refers to a portion or segment of the circle that is less than the whole. This is often represented as a fraction of the circle’s total area or circumference. For example, if a circle is divided into four equal parts, each part represents a fractional part of the circle, specifically one-fourth or 0.25 of the total circle. This concept is commonly used in mathematics, particularly in geometry and trigonometry.
How to Calculate Fractional Part Of A Circle?
The following steps outline how to calculate the Fractional Part Of A Circle.
- First, determine the degree of the sector (d).
- Next, determine the radius of the circle (r).
- Next, gather the formula from above = F = (d / 360) * ? * r^2.
- Finally, calculate the Fractional Part Of A Circle (F).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
degree of the sector (d) = 45
radius of the circle (r) = 5
