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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.

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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.


What is the approximate area of the shaded sector in the circle below 18cm?

To find the area of a shaded sector in a circle, you need the radius and the angle of the sector. Assuming the radius of the circle is 18 cm, the area of the entire circle is given by the formula (A = \pi r^2), which equals approximately (1017.88 , \text{cm}^2). If you know the angle of the sector in degrees, you can calculate the area of the sector using the formula (A_{sector} = \frac{\theta}{360} \times A_{circle}), where (\theta) is the angle of the sector. Without the angle, I cannot provide the exact area of the shaded sector.


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.


If the arc length of a sector in the unit circle is 4.2 what is the measure of the angle of the sector?

In a unit circle, the radius is 1, so the arc length ( s ) of a sector can be calculated using the formula ( s = r\theta ), where ( r ) is the radius and ( \theta ) is the angle in radians. Since the radius ( r = 1 ), the formula simplifies to ( s = \theta ). Therefore, if the arc length is 4.2, the measure of the angle of the sector is ( \theta = 4.2 ) radians.

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.


What is the formula used to find the area of a sector?

area of sector = (angle at centre*area of circle)/360


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 area of a segment of a circle?

In order to find the area of a sector of a circle you can use the formula below: pi*r^2 * # of degrees/ 360


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.


If the arc length of a sector in the unit circle is 4.2 what is the measure of the angle of the sector?

In a unit circle, the radius is 1, so the arc length ( s ) of a sector can be calculated using the formula ( s = r\theta ), where ( r ) is the radius and ( \theta ) is the angle in radians. Since the radius ( r = 1 ), the formula simplifies to ( s = \theta ). Therefore, if the arc length is 4.2, the measure of the angle of the sector is ( \theta = 4.2 ) radians.


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.


What is the name of the angle in a circle sector?

The angle in a circle sector is called the "central angle." This angle is formed at the center of the circle and subtends the arc of the sector. It is measured in degrees or radians and determines the size of the sector.


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 a pie-slice part of a circle?

It is a sector of the circle


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)