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How to find a sector area in a circle if you have only the arc length?
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
How do you find the length of a sector?
The answer depends on what information you do have: radius, arc length, central angle etc.
If the arc length of a sector in the unit circle is 3 radians what is the measure of the angle of the sector?
In a unit circle, the arc length ( s ) is directly equal to the angle ( \theta ) in radians. Therefore, if the arc length of a sector is 3 radians, the measure of the angle of the sector is also 3 radians.
How do you find the arc in a sector?
If it is a sector of a circle then the arc is the curved part of the circle which forms a boundary of the sector.
In a cone with a slant height of 7.5 feet the slant height forms a 38 degree angle with the radius Find the surface area and volume of the cone?
If you unroll the cone you'll have a sector of a circle, where: i) radius of the sector = slant height of the cone, ii) arc length of the sector = circumference of the cone base. From i) l=r=7.5 From ii) Arc length = AL=angle/360 x 2 x pi x r = 2 x pi x R where r = radius of the sector and R = radius of cone base Angle = 360 degree - 38 degree = 322 degree so: R = (322 x 7.5) / 360 = 6.71 feet Height of the cone: l^2 = H^2 + r^2 (Pythagoras Theorem) H = 3.35 feet So, Volume = (pi x R^2 x H) / 3 Volume = 1577.87 feet^3 I hope this can help, Luciana Melo If you unroll the cone you'll have a sector of a circle, where: i) radius of the sector = slant height of the cone ii) arc length of the sector = circumference of the cone base From i) l = r = 7.5 feet From ii) Arc length = AL = angle/360 x 2 x pi x r = 2 x pi x R Where: r = radius of the sector R = radius of cone base angle = 360 degree - 38 degree = 322 degree Height of the cone: l^2 = H^2 + r^2 H = 3.35 feet So, Volume: V = (pi x R^2 x H)/3 V = 157.87 feet^3 I hope this can help, Luciana Melo
How to find a sector area in a circle if you have only the arc length?
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
Find the arc length of the minor arc if the radius is 13 and the sector is 85?
19.28
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.
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.
How do you find the length of a sector?
The answer depends on what information you do have: radius, arc length, central angle etc.
How do you calculate the the arc of a sector?
To calculate the arc length of a sector: calculate the circumference length, using (pi * diameter), then multiply by (sector angle / 360 degrees) so : (pi * diameter) * (sector angle / 360) = arc length
If the arc length of a sector in the unit circle is 3 radians what is the measure of the angle of the sector?
In a unit circle, the arc length ( s ) is directly equal to the angle ( \theta ) in radians. Therefore, if the arc length of a sector is 3 radians, the measure of the angle of the sector is also 3 radians.
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.
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.
What is the relation between area of a sector and length of an arc of a circle?
There is no direct relation between the area of a sector and the length of an arc. You must know the radius (or diameter) or the angle of the sector at the centre.
Find the arc length of a sector with a radius of 30 and an angle of 60 degrees?
arc length = angle/360 x r 60/360 x 30 = 5
