A sector of a circle is the region enclosed by two radii and the circumference. If you draw a picture, you can see that there are actually two regions formed. One has an angle of 180 degrees or less at the center, and the other has an angle of 180 degrees or more. A sector which occupies more than half of the circle is a major sector.
To put it more succinctly, a major sector is enclosed by two radii and a major arc of a circle.
Geometrically, the parts of a circle are the diameter, radius, chord(s), circumference, arc, sector, segment, tangent, secant, the minor sector, and the major sector.
The area of a sector is the area of the circle multiplied by the fraction of the circle covered by that sector. This is a true statement and correct formula.
Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o
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.
true
For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.
That would certainly do it.
There is no specific formula for a sector of a circle. There is a formula for its angle (at the centre), its perimeter, its area.
It is a sector of the circle
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 is a part of a circle, like a slice of pie.
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector