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.
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.
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.
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)
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.
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)
You have to remember that the complete circle is 360°.When they tell you that the sector is some percent of the circle, it's the same percent of 360° !Example:A sector is 40 percent of the circle. How many degrees is it ?40 percent is the same as 0.40Multiply (0.40 x 360°) and you get 144°. Is that cool ? !
It is a sector of the circle
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