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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
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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 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.
What is the use of radius gauge?
A radius gauge takes the guesswork out of designing or duplicating a part, no matter what size. Arc Master Radius Gauges
How do you find length of arc knowing only the chord of arc and radius?
Well, drawing out the diagram; you should have one triangle with all 3 sides with values. Lets call the radius 'r' , the chord length 'c' and the arc length 'a'. Your triangle should have two sides labelled each as 'r', and 'c'should be the last side.Firstly, we know that the rule for the arc length is radius x theta (radians).So we need a theta. To find theta, we can use the cosine rule, since we have all 3 sides and no angle.The cosine rule is a^2=b^2+c^2-2bcCosA. We can transpose this into: CosA=(b^2+c^2-a^2)/2bc.If we sub in our 'c' as the 'a' in the rule above and the two 'r's as 'b' and 'c', we get our new rule as CosC=(r^2+r^2-c^2)/2rr. We can then simplify that to be CosC = (2r^2-c^2)/2r^2. After that, inverse cosine the value and you should get angle C.Finally sub in your values into the arc length rule: radius x theta, and you should get your answer.P.S. Make sure your calculator is in radians.
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 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 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 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)
How do you calculate the angle of an arc?
You can use the formula where s is the arc lenth, then s=r(theta) where theta is the angle in radians subtended by the arc (radian is ratio of arc length to radius) If you want to use degrees, you can either convert your central angle to degrees or use s=2Pi(r)theta/360 Once again, theta is the central angle, r is the radius, Pi is good to eat if you put an e on the end, otherwise it is about 3.14159, and s is the angle of the arc which you are looking for!
A central angle of a circle of radius 30 cm intercepts an arc of 6 cm Express the central angle in radians and in degrees?
A central angle is measured by its intercepted arc. Let's denote the length of the intercepted arc with s, and the length of the radius r. So, s = 6 cm and r = 30 cm. When a central angle intercepts an arc whose length measure equals the length measure of the radius of the circle, this central angle has a measure 1 radian. To find the angle in our problem we use the following relationship: measure of an angle in radians = (length of the intercepted arc)/(length of the radius) measure of our angle = s/r = 6/30 = 1/5 radians. Now, we need to convert this measure angle in radians to degrees. Since pi radians = 180 degrees, then 1 radians = 180/pi degrees, so: 1/5 radians = (1/5)(180/pi) degrees = 36/pi degrees, or approximate to 11.5 degrees.
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.
What is the use of radius gauge?
A radius gauge takes the guesswork out of designing or duplicating a part, no matter what size. Arc Master Radius Gauges
In circle D, UE and TL are diameters. DY 1 UE and mLUDL = 34°. Then find the degree measure of each arc?
Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm. (Use pi = 22/7 )
How do you find the surface area of a shoe?
Treat the sole as a rectangle. measure length and width. If there is a curve, estimate center of curvature. measure radius. measure length of curve in arc lengths. Determine number of radians. use formula for cylinder, replacing 2 (pi) with number of radians. Subtract length of shoe by the length of curve in the sole. Calculate area
