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

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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. This is a true statement and correct formula.

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)

Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].

fulse

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.

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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. This is a true statement and correct formula.

true

No. Assuming the measure of the arc is in some units of length along the curve, you have to divide the result by the circumference of the circle. Basically, you need to multiply the area of the whole circle by the fraction of the whole circle that the sector accounts for.

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

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)

Divide the area of the sector by 360 and multiply it to the area. The area of the sector is 5 square inches.

Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].

Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].

fulse

Divide the angle sector by 360 and multiply it by 24 square meters. The area is equal to 3 square meters.

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.

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