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The area of the segment of a circle is determined by subtracting the triangle formed inside the sector from the sector which has the segment. In this article, we shall discuss in detail the segment and area of a segment of a circle and all related theorems with proof.
Formulas for a segment of a circle area. To find the circle segment area, you need to know at least two variables. In our segment area calculator, you'll find two popular formulas implemented: Formula given radius and central angle. Asegment = 0.5 × r² × (α – sin (α))
The formula to find the area of the segment is given below. It can also be found by calculating the area of the whole pie-shaped sector and subtracting the area of the isosceles triangle ACB. Where: C. is the central angle in DEGREES. R. is the radius of the circle of which the segment is a part. π.
How To Find the Area of a Segment of a Circle? Here are the steps to find the area of a segment of a circle. Identify the radius of the circle and label it 'r'. Identify the central angle made by the arc of the segment and label it 'θ'. Find the area of the triangle using the formula (1/2) r 2 sin θ.
30 lip 2024 · The area of a sector with a central angle α = 90° of a circle with radius r = 1 is π/4. To calculate this result, you can use the following formula: A = r² · α/2, substituting: r = 1; and; α = 90° · π/180° = π/2. Thus: A = (1² · π/2)/2 = π/4. Notice that this is also a quarter of the area of the whole circle.
Circular segment. Circular segment - is an area of a "cut off" circle from the rest of the circle by a secant (chord). On the picture: L - arc length h - height c - chord R - radius a - angle. If you know the radius and the angle, you may use the following formulas to calculate the remaining segment values: Circular segment formulas. Segment ...
3 sie 2023 · Area (A) of a Segment of a Circle = ½ × r2 × (πθ /180 – sin θ) Thus, if the radius is known and the central angle of the segment is given in degrees, the formula to find the area of a segment is given below. Segment of a Circle Formula. Let us solve some examples to understand the concept better.
