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If it is a sector of a circle then the arc is the curved part of the circle which forms a boundary of the sector.
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
In a circle what is the difference between a central angle and an arc?Read more: In_a_circle_what_is_the_difference_between_a_central_angle_and_an_arc
If you're only given the length of the arc, then you can't. You also need to know the fraction of the circle that's in the sector. You can figure that out if you know the angle of the arc, or the radius or diameter of the circle. -- Diameter of the circle = 2 x (radius of the circle) -- Circumference of the circle = (pi) x (Diameter of the circle) -- (length of the arc)/(circumference of the circle) = the fraction of the whole circle that's in the sector or -- (degrees in the arc)/360 = the fraction of the whole circle that's in the sector -- Area of the circle = (pi) x (radius of the circle)2 -- Area of the sector = (Area of the circle) x (fraction of the whole circle that's in the sector)
A sector of a circle would fit the given description
If it is a sector of a circle then the arc is the curved part of the circle which forms a boundary of the sector.
There is no direct relation between the area of a sector and the length of an arc. You must know the radius (or diameter) or the angle of the sector at the centre.
In a circle what is the difference between a central angle and an arc?Read more: In_a_circle_what_is_the_difference_between_a_central_angle_and_an_arc
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
sector
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector
If you're only given the length of the arc, then you can't. You also need to know the fraction of the circle that's in the sector. You can figure that out if you know the angle of the arc, or the radius or diameter of the circle. -- Diameter of the circle = 2 x (radius of the circle) -- Circumference of the circle = (pi) x (Diameter of the circle) -- (length of the arc)/(circumference of the circle) = the fraction of the whole circle that's in the sector or -- (degrees in the arc)/360 = the fraction of the whole circle that's in the sector -- Area of the circle = (pi) x (radius of the circle)2 -- Area of the sector = (Area of the circle) x (fraction of the whole circle that's in the sector)
Is a SECTOR. or SEGMENT.
a sector is a portion of a circle bounded by the two radii and the included arc.
A sector of a circle would fit the given description
It is a sector of the circle
Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o