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24 Οκτ 2024 · You can calculate the segment area in three steps: Determine the radius of the circle. Calculate the central angle. Apply the segment area formula: 0.5 × r² × (α – sin(α))
30 Ιουλ 2024 · With this sector area calculator, you'll quickly find any circle sector area, e.g., the area of a semicircle or quadrant. In this short article, we'll: Provide a sector definition and explain what a sector of a circle is. Show the sector area formula and explain how to derive the equation yourself without much effort.
Circular segment. Here you can find the set of calculators related to circular segment: segment area calculator, arc length calculator, chord length calculator, height and perimeter of circular segment by radius and angle calculator.
You can work out the Area of a Sector by comparing its angle to the angle of a full circle. Note: we are using radians for the angles. This is the reasoning: A circle has an angle of 2 π and an Area of: πr2. A Sector has an angle of θ instead of 2 π so its Area is : θ 2π × πr2. Which can be simplified to: θ 2 × r2.
Circle Sector and Segment Calculator. Calculate the area and perimeter of a circle sector and segment. Circle Radius: Angle (degrees): Calculate. Calculation Breakdown: Radius: 5. Angle: 60 degrees. Sector Area Calculation: Formula: (π * radius^2 * angle) / 360. Calculation: (π * 5^2 * 60) / 360 = 13.09. Sector Perimeter Calculation:
Calculate. α. Sₛₑ. S = S se α360 = 180. By the sector area. When you know the area of a sector and the measurement of the central angle, the area of the circle will be equal to the product of the area of the segment and 360 degrees divided by the central angle in degrees.
Our circle sector area calculator makes it easy to find the area of your sector. To use the calculator: Select the method you want to use to calculate the area (through the corner or through the arc length). Enter the required values, such as the radius and central angle or arc length, in the corresponding input boxes.
