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IndustryArena Forum > Mechanical Engineering > Mechanical Calculations/Engineering Design > how to find the center of an arc given start, end, and radius?

Thread: how to find the center of an arc given start, end, and radius?

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  1. 03-17-2011, 06:58 AM #1
    forgetcolor
    forgetcolor is offline Registered
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    how to find the center of an arc given start, end, and radius?

    Does anyone know what the formula is for finding the center of an arc when all you know is the start point, end point, and the radius? I know it will lie on the perpendicular bisector between the two points, but don't know how to calculate it.

    thanks for any help!
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  2. 03-17-2011, 10:21 AM #2
    jeffrey001
    jeffrey001 is offline Banned
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    To find the distance between both points:

    Each points must have a X and Y coordinate

    (X1 - X2)^2 +(y2 - Y1)^2

    After, you know 3 sides, radius, radius and the chord

    Triangle Calculator Online

    In calculator, choose SSS given 3 sides and it will calculate angles.

    Now you know 3 sides and 3 angles

    Goto this calculator

    Find Center and Radius of a Circle - Calculator


    Hope this help.

    Jeff
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  3. 03-17-2011, 09:40 PM #3
    trio
    trio is offline Registered
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    Two solutions

    With only two points and a radius value known, you will have two solutions of where the center point could be located.
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