How do you calculate a segment?
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°) × πr2 – (1/2) r2 sin θ (OR) r2 [πθ/360° – sin θ/2], if ‘θ’ is in degrees. (1/2) × r2θ – (1/2) r2 sin θ (OR) (r2 / 2) [θ – sin θ], if ‘θ’ is in radians.
What does 2πr mean?
The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations: C = πd. C = 2πr.
How do you find A circumference?
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
What is the formula for segment of a circle?
the length of the chord = 2r sin (θ/2) Thus, the perimeter of the segment formula is: The perimeter of the segment of a circle = rθ + 2r sin (θ/2), if ‘θ’ is in radians. The perimeter of the segment of a circle = πrθ/180 + 2r sin (θ/2), if ‘θ’ is in radians.
What is the formula for circle segment?
Alternate Segment Theorem
What is the formula for circle sector?
– A circular sector is the portion of a disk enclosed by two radii and an arc. – A sector divides the circle into two regions, namely Major and Minor Sector. – The smaller area is known as the Minor Sector, whereas the region having a greater area is known as Major Sector.
What is a minor segment of a circle?
If the area of the segment is minimum when compared to other part of the circle, the segment is called as minor segment. In this example, the segment formed by the arc IKJ and chord IJ ‾ is a minor segment due to the minor area of part of the circle. 2. Consider a point L on the circumference of the circle.