The area of the sector is: 221.2 cm2
It depends on what information you have: the radius and the area of the sector or the length of the arc.
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector
There are 360 degrees in a circle so it will be 1/3 of pi*62 square units
If you mean a sector with an arc of 110 degrees and an area of 50 square units Area of all the circle: 360/110 times 50 = 163.'63' square units Radius of the circle is the square root of 163.'63'/pi = 7.2171377402 So the radius of the circle is about 7 units
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
The radius is 8 feet.
The area of the sector of a circle with a radius of 2 inches and an arc of 60 degrees: 2.094 square inches.
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It depends on what information you have: the radius and the area of the sector or the length of the arc.
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.
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
A sector is a part of a circle which looks the same shape as a piece of a circular pie. You probably remember that Pi charts look like a circular cake cut into portions. We can calculate the area of the sector of a circle if we know the angle between the two straight sides and the radius of the circle. Now the area of a complete circle is Pi x square of radius, If the radius is 12 cm then the circle's area will be Pi x square of 12 square centimetres. But that is for the full circle. If the sector's angle is 60 degrees, that would mean that the area of the sector would be 60 degrees/360 degrees which equals 1/6; so finally, the area of the sector is (Pi x 12 squared) divided by 6 = 75.398 sq cm )correct to 4 decimal places).
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.
Well a circle has 360 degrees so a sector of 90 degrees has an area equal to 90/360 (or 1/4) of a circle with the equivalent radius. The area of a circle is defined as PI*Radius^2 so the area of a 90 degree sector will be 1/4*PI*Radius^2. The area will be 1/4*3.14*10^2 or 78.5 in^2.
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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)