if given the central angle and the area of the circle, then by proportion:
Given angle / sector area = 360 / Entire area, then solve for the sector area
If the circumference or diameter is given then you can find the radius or simply measure the distance from the centre of the circle to the circumference.
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.
It depends on what else is known about the sector: length of arc, area or some other measure.
For A+ it's 20
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)
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.
That will depend on the length of its arc which has not been given
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.
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.
That will depend on the length or angle of the arc which has not been given
You cannot. The angle of the sector MUST be given, although that might be implicitly rather than explicitly.
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector
the area of a sector = (angle)/360 x PI x radius x radius pi r squared
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
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.
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)
19.625 units squared