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Definition Of Area Of A Sector

Definition Of Area Of A Sector. Try this drag one of the orange dots that define the endpoints of the. Sector area = α × πr² / 2π = α × r² / 2.

Area of a Sector Formula, Definition, Examples
Area of a Sector Formula, Definition, Examples from www.cuemath.com

Area of the sector of angle θ = θ360×πr 2. The part of a circle enclosed by two radii of a circle and their intercepted arc. In the above image, the endpoints of arc bc.

Θ Is The Angle In Degrees.


Sector area = α × πr² / 2π = α × r² / 2. This area is equivalent to the median angle. A portion of a military front or area of operation.

When The Angle Of The Sector Is Θ, The Area Of The Sector Will Be Θ360 ×Πr 2.


A geometric figure bounded by two radii and the included arc of a circle. Length of the arc of sector formula. The area of a sector of the circle is half the product of the radius of the circle and the radian measure of its central angle = (1) proof let us consider the ratio of the area of the sector to the.

The Area Of A Sector Is Thus A Fraction Of The Area Of The Circle.


It can be compared to a slice of pizza. A subdivision of a defensive military position. In a circle with radius r and centre at o, let ∠poq = θ (in degrees) be the angle of the sector.

Similarly, The Length Of The Arc Of The Sector With Angle Θ Is Given.


Then, the area of a sector of circle formula is calculated using the unitary method. In the above image, the endpoints of arc bc. Area of sector (a) = (θ/360°) × πr 2.

A Sector Is An Area That Is Bounded By An Arc And The Two Radii Connecting The Endpoints Of The Arc And The Center Of The Circle.


The part of a circle enclosed by two radii of a circle and their intercepted arc. Typically, the formula to calculate the area of a sector of a circle is a = pi *r 2. R is the radius of the circle.

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