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The length of the sector = (θ/360°)× 2πr. l = (40°/360°) × 2 × (22/7) × 7. l = 44/9 units. Example 2: Find the area of the sector of a circle if the radius of the circle is 20 units, and the length of the arc is 8 units. Solution: Given, radius = 20 units and length of an arc of a sector of circle = 8 units.
This is the reasoning: A circle has an angle of 2 π and an Area of: πr2. A Sector has an angle of θ instead of 2 π so its Area is : θ 2π × πr2. Which can be simplified to: θ 2 × r2. Area of Sector = θ 2 × r 2 (when θ is in radians) Area of Sector = θ × π 360 × r 2 (when θ is in degrees)
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A "pie-slice" part of a circle - the area between two radiuses and the connecting arc of a circle. See: Segment. Circle Sector and Segment. Illustrated definition of Sector: A pie-slice part of a circle - the area between two radiuses and the connecting arc...
Then, the area of a sector of circle formula is calculated using the unitary method. For the given angle the area of a sector is represented by: The angle of the sector is 360°, area of the sector, i.e. the Whole circle = πr 2. When the Angle is 1°, area of sector = πr 2 /360° So, when the angle is θ, area of sector, OPAQ, is defined as;
A circular sector, also known as circle sector or disk sector or simply a sector (symbol: ⌔ ), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, with the smaller area being known as the minor sector and the larger being the major sector. [1] In the diagram, θ is the central angle, the radius of ...
A sector is formed when two radii of the circle meet at both ends of the arc. An arc is simply a portion of the circumference of the circle. Sector of a Circle Definition. The definition of the sector of a circle in geometry can be given as the part of the circle enclosed by two radii and an arc of the circle.
Sector. Definition: The part of a circle enclosed by two radii of a circle and their intercepted arc . A pie-shaped part of a circle. Try this Drag one of the orange dots that define the endpoints of the blue arc. The sector of the circle is shown in yellow. As you can see from the figure above, a sector is a pie-shaped part of a circle.
