What is a sector in geometry?
Sector. A sector is a region bounded by two radii of a circle and the intercepted arc of the circle. The angle formed by the two radii is called a central angle. A sector with a central angle less than 180° is called a minor sector.
How do you find a sector in geometry?
The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
What is the formula for area of a sector?
Area of Sector Formula The area of a sector can be calculated using the following formulas, Area of a Sector of Circle = (θ/360º) × πr2, where, θ is the sector angle subtended by the arc at the center, in degrees, and ‘r’ is the radius of the circle.
How do you define sector?
A sector is an area of the economy in which businesses share the same or related business activity, product, or service. Sectors represent a large grouping of companies with similar business activities, such as the extraction of natural resources and agriculture.
What is a sector angle in math?
Definition: The part of a circle enclosed by two radii of a circle and their intercepted arc. As you can see from the figure above, a sector is a pie-shaped part of a circle. It has two straight sides (the two radius lines), the curved edge defined by the arc, and touches the center of the circle.
What is sector length?
Length of the Arc of Sector Formula Similarly, the length of the arc (PQ) of the sector with angle θ, is given by; l = (θ/360) × 2πr (or) l = (θπr) /180.
What does a sector look like?
A pie-shaped part of a circle. As you can see from the figure above, a sector is a pie-shaped part of a circle. It has two straight sides (the two radius lines), the curved edge defined by the arc, and touches the center of the circle.
How do you find the area of a triangle in a sector?
Example
- Area of sector = 40 360 × π × 8 2.
- Area of triangle = 1 2 ab sin C.
- Area of triangle = 1 2 × 8 × 8 × sin 40.
How do you calculate the perimeter of a sector?
Perimeter of a sector. The formula for the perimeter of a sector is 2 x radius + radius x angle x (π / 360). Visual on the figure below: A sector is just a part of a circle, so the formula is similar.
What is the formula for the angle of a sector?
Using the pie example, the sector angle is the angle formed when the two edges of your apple pie slice come together to form a point. The formula for finding a sector angle is: Sector Angle = Arc Length * 360 degrees / 2π * Radius. The 360 represents the 360 degrees in a circle.
How do you calculate the area of a sector?
Area of a sector formula. The formula for the area of a sector is (angle / 360) x height x π x radius2. The figure below illustrates the measurement: As you can easily see, it is quite similar to that of a circle, but modified to account for the fact that a sector is just a part of a circle.
What is the formula for the length of a sector?
The arc length (of a Sector or Segment) is: L = θ × r (when θ is in radians) L = θ × π 180 × r (when θ is in degrees)