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The formula for the area of a sector of a circle is given by ( A = \frac{\theta}{360} \times \pi r^2 ), where ( A ) is the area, ( \theta ) is the central angle in degrees, and ( r ) is the radius of the circle. If the angle is in radians, the formula simplifies to ( A = \frac{1}{2} r^2 \theta ). The length of the arc of the sector can be calculated using the formula ( L = \frac{\theta}{360} \times 2\pi r ) for degrees, or ( L = r\theta ) for radians.

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2mo ago

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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 do size of sector?

To determine the size of a sector in a circle, you can use the formula: Area of the sector = (θ/360) × πr², where θ is the central angle of the sector in degrees and r is the radius of the circle. If you have the angle in radians, the formula becomes: Area of the sector = (1/2) × r² × θ. This allows you to calculate the area based on the proportion of the circle that the sector represents.


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

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


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.


What is the formula to be used if the diameter is given?

The answer depends on the formula for what: the radius, circumference, length of an arc, area, area of sector, area of segment: each one has a different formula.


Formula for Total operating income?

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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.


What is the approximate area of the shaded area of the shaded sector 180 degrees?

To find the area of a shaded sector with a 180-degree angle, you can use the formula for the area of a sector: ( \text{Area} = \frac{\theta}{360} \times \pi r^2 ), where ( \theta ) is the angle in degrees and ( r ) is the radius. For a 180-degree sector, the formula simplifies to ( \text{Area} = \frac{1}{2} \pi r^2 ). Thus, the area of the shaded sector is half the area of the full circle with radius ( r ).


Find the area of a sector of a circle with a 2 feet radius formed by a 30 degree angle?

the formula for the area of a sector is measure of arc/360 times (pi)(radius squared) it should come out to be about 1.046 or 1.047, or 1/3(pi) the formula for the area of a sector is measure of arc/360 times (pi)(radius squared) it should come out to be about 1.046 or 1.047, or 1/3(pi)


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 area of a sector with only radius given?

To find the area of a sector when only the radius is given, you'll need to know the angle of the sector in either degrees or radians. The formula for the area of a sector is ( A = \frac{1}{2} r^2 \theta ), where ( r ) is the radius and ( \theta ) is the angle in radians. If the angle is not provided, the area cannot be determined solely with the radius.