Sector of a circle
A region of the circle bounded by a central angle and its intercepted arc
The sector of a circle is a region or portion of the circle that is bounded by two radii and an arc. The arc of the sector is a part of the circumference of the circle, while the two radii are the sides of the sector that connect the center of the circle to the two ends of the arc.
The area of a sector can be calculated by using the formula:
Area of Sector = (θ/360) x πr²
where θ is the angle of the sector measured in degrees, r is the radius of the circle, and π is the mathematical constant pi (approximately equal to 3.14).
Similarly, the length or arc of the sector can be calculated by using the formula:
Arc Length = (θ/360) x 2πr
where θ, r, and π are the same as in the formula for the area of the sector.
Sectors are commonly used in geometry, trigonometry, and calculus to solve problems related to circles, angles, areas, and volumes. They are also used in many real-life applications, such as in calculating the area of a pizza slice, or in designing circular gardens and structures.
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