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Well...a "sector" is part of a circle...which has a radius. But in order to calculate the radius, you'd need both the total area of the circle, and the central angle of the sector (or enough information to get the central angle).
Let's say you're looking at a clock (and let's assume both the minute hand and the hour hand are the same length, and extend from the center all the way to the edge of the clock). Assuming this, the length of both hands would be the radius, as they are segments whose endpoints are the center of the circle, and a point on the circle.
If you put the hands of the clock at the 12 and 3, you've just created a sector that is 1/4 of the entire area. The angle created by these hands would have a vertex that is the center of the circle...and this would be the "central angle"...and it would have a measure of 1/4 of 360...which is 90.
But...while you can say what "fraction" of the circle is encompassed by the sector, you can't do any calculations until you have somewhere to start from. Let's say in the above example, you knew that the entire area of the circle was 64pi. The radius of that circle would be the square root of 64=8. This would, obviously be the radius of the sector as well...but since our "central angle" was 90...the AREA of the sector is 90/360 (or 1/4) of the total area. Since our initial area was 64pi...the area of the sector would be 16pi.
But if all you want is a simple formula, the radius of a circle (and by extension the sector), given the area of the sector (s) and the measure of the central angle (c) would be the square root of [(360*s)/(c*pi)]
What else can I help you with?
How do you calculate the Height and Breath of sector shaped conductor?
Well, isn't that a lovely question! To calculate the height and breadth of a sector-shaped conductor, you can start by finding the radius and angle of the sector. Once you have those values, you can use trigonometric functions to determine the height and breadth. Just remember, there are always happy little formulas to help guide you along the way.
What is the area of sector CED when DE equals 15 yd?
To find the area of sector CED, we need the radius (DE) and the angle of the sector. The area of a sector can be calculated using the formula: Area = (θ/360) × πr², where θ is the angle in degrees and r is the radius. Given that DE equals 15 yards, we would need the angle CED to calculate the area accurately. Without the angle, we cannot determine the area of sector CED.
How do you work out the area of a sector using the angle and radius?
the area of a sector = (angle)/360 x PI x radius x radius pi r squared
What is the radius of a circle with a sector are of 662.89?
Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees
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.
Calculate a sector of a circle if the angle is 150 degrees and the radius is 13cm?
The area of the sector is: 221.2 cm2
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
How do you calculate the Height and Breath of sector shaped conductor?
Well, isn't that a lovely question! To calculate the height and breadth of a sector-shaped conductor, you can start by finding the radius and angle of the sector. Once you have those values, you can use trigonometric functions to determine the height and breadth. Just remember, there are always happy little formulas to help guide you along the way.
What is the area of sector CED when DE equals 15 yd?
To find the area of sector CED, we need the radius (DE) and the angle of the sector. The area of a sector can be calculated using the formula: Area = (θ/360) × πr², where θ is the angle in degrees and r is the radius. Given that DE equals 15 yards, we would need the angle CED to calculate the area accurately. Without the angle, we cannot determine the area of sector CED.
How do you work out the area of a sector using the angle and radius?
the area of a sector = (angle)/360 x PI x radius x radius pi r squared
What is the radius of a circle with a sector are of 662.89?
Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees
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 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 radius of the sector with an angle of 27 degrees and arc of 12cm?
The radius of the sector with an angle of 27 degrees and arc of 12cm is: 25.46 cm
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.
If a sector has an angle of 118.7 and an arc length of 58.95mm what is its radius?
If a sector has an angle of 118.7 and an arc length of 58.95 mm its radius is: 28.45 mm
What is the arc length of a sector that is 125degrees and has a radius of 20 inches?
The arc length of a sector that is 125 degrees and has a radius of 20 inches is: 43.63 inches.
