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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
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What is the area of a sector whose central angle is ninety degrees and has a radius of ten inches?
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.
How do you find the area of a circle without knowing the radius?
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.
How do you find radius using angle of a sector?
It depends on what else is known about the sector: length of arc, area or some other measure.
What is the radius of a circle if it has a sector area of 662.89 and a 190 degree measure?
For A+ it's 20
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)
What is the area of a sector that has a radius of 3?
That will depend on the length of its arc which has not been given
What is the area of the shaded sector with a radius of 7?
That will depend on the length or angle of the arc which has not been given
How do you find the area of a sector of a circle when you're given only the radius and not the degrees?
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 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 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 area of the shaded sector if the circle has a radius of 3 and the central angle is 90 degrees?
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
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.
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)
Find the area of a sector of a circle with radius 12 and arc length 10pi?
The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.
Find the area of the yellow sector of the circle with a given radius of 5 units Use pi equals 3.14?
19.625 units squared
What is the area of a shaded sector when the radius is 16 and the arc is 110 degrees?
The area of the shaded sector is: 245.7 square units.
How do you find the degrees sector of an circle?
It depends on what information you have: the radius and the area of the sector or the length of the arc.
