Search results
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.
Area of Segment. The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin (θ)2 × r 2 (when θ is in radians)
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))
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.
What Is the Formula for Area of the Segment of a Circle? The area of the segment of the circle (or) minor segment of a circle is: (θ / 360°) × πr 2 - (1/2) r 2 sin θ (OR) r 2 [πθ/360° - sin θ/2], if 'θ' is in degrees
How to calculate the area of a segment. In order to calculate the area of a segment: Find the length of the radius. Find the size of the angle creating the sector. Find the area of the sector. Find the area of the triangle created by the radii and the chord of a circle. Subtract the area of the triangle from the area of the sector.
The segment is the small partially curved figure left when the triangular portion of the sector is removed. Find the area of a segment of a circle with a central angle of 120 degrees and a radius of 8 cm. Express answer to the nearest integer.
