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What is a sector in a circle?

Updated: 12/22/2022
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Q: What is a sector in a circle?
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The area of a sector is the area of the circle multiplied by the fraction of the circle covered by that 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.


How do you find the arc in a sector?

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.


What is the formula of the sector of the circle?

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.


To find the area of a sector you multiply the area of the circle by the fraction of the circle covered by that sector?

That would certainly do it.


How do you work out the area of a sector when given the length of the 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)

Related questions

The area of a sector is the area of the circle multiplied by the fraction of the circle covered by that 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.


To find the area of a sector you multiply the area of the circle by the measure of the arc determined by the sector?

Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o


How do you find the arc in a sector?

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.


Is the area of a sector the area of the circle multiplied by the fraction of the circle covered by that sector?

true


Find the area of the sector when the sector measures 10 degrees and the diameter of the circle is 12?

For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.


To find the area of a sector you multiply the area of the circle by the fraction of the circle covered by that sector?

That would certainly do it.


What is the formula of the sector of the circle?

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.


How do you work out the area of a sector when given the length of the 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)


What is a pie-slice part of a circle?

It is a sector of the circle


What is a sector?

A sector is a part of a circle, like a slice of pie.


If a circle has a radius of 12 cm and a sector defined by a 120 degree arc what is the area of the 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


What is the area of a circle if the area of its sector is 49?

The area of the circle is(17,640)/(the number of degrees in the central angle of the sector)