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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 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)


How do you find an area of a sector of a circle?

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


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

fulse


If the shaded sector of the circle shown above has an area of 6 square units then what is the area of the entire circle?

The area of a sector of a circle is given by the formula ( \text{Area of sector} = \frac{\theta}{360} \times \pi r^2 ), where ( \theta ) is the angle of the sector in degrees and ( r ) is the radius of the circle. If the shaded sector has an area of 6 square units, we need the angle to determine the entire area of the circle. However, assuming this sector represents a certain fraction of the circle, the area of the entire circle can be found using the formula ( \text{Area of circle} = \frac{6 \times 360}{\theta} ). If the angle is known, you can calculate the total area accordingly.

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.


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

true


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

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.


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 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)


A circle has an area of 30 in What is the area of a 60 sector of this circle?

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


How can you find the angle of a sector in a circle?

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


How do you find an area of a sector of a circle?

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


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

fulse


A circle has an area of 24 m What is the area of a 45 sector of this circle?

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


If the shaded sector of the circle shown above has an area of 6 square units then what is the area of the entire circle?

The area of a sector of a circle is given by the formula ( \text{Area of sector} = \frac{\theta}{360} \times \pi r^2 ), where ( \theta ) is the angle of the sector in degrees and ( r ) is the radius of the circle. If the shaded sector has an area of 6 square units, we need the angle to determine the entire area of the circle. However, assuming this sector represents a certain fraction of the circle, the area of the entire circle can be found using the formula ( \text{Area of circle} = \frac{6 \times 360}{\theta} ). If the angle is known, you can calculate the total area accordingly.


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.