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Yes, as long as you know the angle of the arc (between the two radii at its ends at the centre of the arc):
arc_length = radius x angle_of_arc_in_radians
→ radius = arc_length ÷ angle_of_arc_in_radians
To convert between degrees and radians:
radians = π x degrees ÷ 180°
→ degrees = 180° x radians ÷ π
What else can I help you with?
How do you find the length of the arc in a semi circle when its radius is given?
To find the length of the arc of a semicircle, use the formula ( L = \pi r ), where ( r ) is the radius of the semicircle. Since a semicircle is half of a full circle, the total circumference of a circle is ( 2\pi r ), and the length of the arc for the semicircle is half of that. Simply multiply the radius by ( \pi ) to get the arc length.
How many meters are in a arc?
The length of an arc can be calculated using the formula ( L = r \theta ), where ( L ) is the arc length, ( r ) is the radius of the circle, and ( \theta ) is the angle in radians. Therefore, the number of meters in an arc depends on the radius of the circle and the angle subtended by the arc. If you have specific values for the radius and angle, you can use this formula to find the arc length in meters.
How do you calculate arc length in electric arc furnace?
To calculate the arc length in an electric arc furnace, you can use the formula: ( L = \theta \times r ), where ( L ) is the arc length, ( \theta ) is the angle in radians, and ( r ) is the radius of the arc. First, determine the angle that the arc subtends at the center of the furnace, then measure the effective radius from the arc's origin to the point where the arc terminates. Multiply these values to find the arc length.
How do you find arc length when given radius and chord?
You can use the cosine rule and the three lengths of the triangle to find the central angle X, (in radians). Then the length of the arc is r*X units.
In a circle of radius 60 inches a central angle of 35 will intersect the circle forming an arc of length?
To find the arc length of a circle given a central angle, you can use the formula: Arc Length = (θ/360) × (2πr), where θ is the central angle in degrees and r is the radius of the circle. For a circle with a radius of 60 inches and a central angle of 35 degrees, the arc length would be: Arc Length = (35/360) × (2π × 60) ≈ 36.7 inches.
How can one find the arc length using radians?
To find the arc length using radians, you can use the formula: Arc Length Radius x Angle in Radians. Simply multiply the radius of the circle by the angle in radians to calculate the arc length.
How do you find the length of the arc in a semi circle when its radius is given?
To find the length of the arc of a semicircle, use the formula ( L = \pi r ), where ( r ) is the radius of the semicircle. Since a semicircle is half of a full circle, the total circumference of a circle is ( 2\pi r ), and the length of the arc for the semicircle is half of that. Simply multiply the radius by ( \pi ) to get the arc length.
How many meters are in a arc?
The length of an arc can be calculated using the formula ( L = r \theta ), where ( L ) is the arc length, ( r ) is the radius of the circle, and ( \theta ) is the angle in radians. Therefore, the number of meters in an arc depends on the radius of the circle and the angle subtended by the arc. If you have specific values for the radius and angle, you can use this formula to find the arc length in meters.
How do you calculate arc length in electric arc furnace?
To calculate the arc length in an electric arc furnace, you can use the formula: ( L = \theta \times r ), where ( L ) is the arc length, ( \theta ) is the angle in radians, and ( r ) is the radius of the arc. First, determine the angle that the arc subtends at the center of the furnace, then measure the effective radius from the arc's origin to the point where the arc terminates. Multiply these values to find the arc length.
How do you find arc length when given radius and chord?
You can use the cosine rule and the three lengths of the triangle to find the central angle X, (in radians). Then the length of the arc is r*X units.
How do you get the radius if angle is 150 degrees and length of arc is 330 cm?
Well, isn't that just a happy little question! To find the radius when you have the angle and arc length, you can use the formula: radius = (arc length) / (angle in degrees) * (π/180). Just plug in the values you have, and you'll have your radius in no time. Remember, there are no mistakes, just happy little accidents in math!
In a circle of radius 60 inches a central angle of 35 will intersect the circle forming an arc of length?
To find the arc length of a circle given a central angle, you can use the formula: Arc Length = (θ/360) × (2πr), where θ is the central angle in degrees and r is the radius of the circle. For a circle with a radius of 60 inches and a central angle of 35 degrees, the arc length would be: Arc Length = (35/360) × (2π × 60) ≈ 36.7 inches.
What is the arc length of the minor arc of 120 degrees and 8 radius?
To find the arc length of a minor arc, you can use the formula: ( \text{Arc Length} = \frac{\theta}{360} \times 2\pi r ), where ( \theta ) is the angle in degrees and ( r ) is the radius. For a 120-degree arc with an 8-unit radius, the arc length is ( \frac{120}{360} \times 2\pi \times 8 = \frac{1}{3} \times 16\pi = \frac{16\pi}{3} ). Thus, the arc length is approximately 16.76 units.
How do you find the measure of a central angle from the radius?
To find the measure of a central angle in a circle using the radius, you can use the formula for arc length or the relationship between the radius and the angle in radians. The formula for arc length ( s ) is given by ( s = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. Rearranging this formula, you can find the angle by using ( \theta = \frac{s}{r} ) if you know the arc length. In degrees, you can convert radians by multiplying by ( \frac{180}{\pi} ).
How do you Find the arc length of the minor arc 120 and 8?
To find the arc length of a minor arc, you can use the formula: ( L = \frac{\theta}{360} \times 2\pi r ), where ( L ) is the arc length, ( \theta ) is the central angle in degrees, and ( r ) is the radius. For a minor arc with a central angle of 120 degrees and a radius of 8, substitute the values into the formula: ( L = \frac{120}{360} \times 2\pi \times 8 ). This simplifies to ( L = \frac{1}{3} \times 16\pi ), resulting in an arc length of approximately ( 16.76 ) units.
The radius of a circle is 9 cm what is the length of a 60 degree arc?
To find the length of a 60-degree arc in a circle with a radius of 9 cm, you can use the formula for arc length: ( L = \frac{\theta}{360} \times 2\pi r ), where ( \theta ) is the angle in degrees and ( r ) is the radius. Substituting the values, we get ( L = \frac{60}{360} \times 2\pi \times 9 ). This simplifies to ( L = \frac{1}{6} \times 18\pi = 3\pi ). Therefore, the length of the arc is approximately 9.42 cm when calculated numerically.
What is the length of an arc that is 150 degrees?
To find the length of an arc in a circle, you can use the formula L = (θ/360) x 2πr, where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle. In this case, with a central angle of 150 degrees, the formula becomes L = (150/360) x 2πr = (5/12) x 2πr. Therefore, the length of the arc would be (5/12) times the circumference of the circle with radius r.
