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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 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.
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.
How do you find a radius of a circle 120 degrees?
To find the radius of a circle from a central angle of 120 degrees, you need additional information, such as the length of the arc or the area of the sector. If you have the arc length (s), you can use the formula ( r = \frac{s}{\theta} ), where ( \theta ) is in radians (120 degrees is ( \frac{2\pi}{3} ) radians). If you know the area of the sector, you can use ( r = \sqrt{\frac{A}{\frac{1}{2} \theta}} ), where ( A ) is the area and ( \theta ) is in radians. Without extra data, the radius cannot be determined solely from the angle.
How do i find the arc length if i know the area?
Use the formula for the area of a circular sector, and solve for the angle.For a circular sector: area = radius squared times angle / 2 (Note: The angle is supposed to be expressed in radians; and in this specific problem, there is no need to convert it to degrees.) Since you know the area and the radius (according to the comments added to this question), you can solve for the angle. Once you know the angle (in radians!), the arc length is simply angle x radius.
What is the length of the arc on a circle with radius 10 cm intercepted by a 20 and deg angle Use 3.14 for and pi .?
The arcs are 59.31 cm and 3.49 cm.
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 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!
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.
How do you find an arc of an angle?
you must know the radius also. Then use the formula arc = 2 x 3.14 x radius x angle / 360
How do you find the area of a circle without the radius?
if you have the diameter or the arc, then you can divide the diameter by two, or you can use the arc to calculate it.
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.
What is the difference between an arc and an angle?
An angle is measurement use to tell the distance between two lines that are concurrent at a point. An arc is the length of a curve drawn with a unchanging distance (radius length) around a point..
How do you find a radius of a circle 120 degrees?
To find the radius of a circle from a central angle of 120 degrees, you need additional information, such as the length of the arc or the area of the sector. If you have the arc length (s), you can use the formula ( r = \frac{s}{\theta} ), where ( \theta ) is in radians (120 degrees is ( \frac{2\pi}{3} ) radians). If you know the area of the sector, you can use ( r = \sqrt{\frac{A}{\frac{1}{2} \theta}} ), where ( A ) is the area and ( \theta ) is in radians. Without extra data, the radius cannot be determined solely from the angle.
How do i find the arc length if i know the area?
Use the formula for the area of a circular sector, and solve for the angle.For a circular sector: area = radius squared times angle / 2 (Note: The angle is supposed to be expressed in radians; and in this specific problem, there is no need to convert it to degrees.) Since you know the area and the radius (according to the comments added to this question), you can solve for the angle. Once you know the angle (in radians!), the arc length is simply angle x radius.
How would your find the fraction of a circle that an arc covers?
Use the information you have to find it. -- divide the length of the arc by the total circumference of the circle, or -- divide the central angle of the arc by 360 degrees (a full circle)
What is the length of the arc on a circle with radius 10 cm intercepted by a 20 and deg angle Use 3.14 for and pi .?
The arcs are 59.31 cm and 3.49 cm.
