Suppose I'm given two points: ( x 1 , y 1 ) and ( x 2 , y 2 ) (which are real numbers) lying on the circumference of a circle with radius r and centred at the origin, how do I find the arc length between those two points (the arc with shorter length)?

Question

Suppose I&#039;m given two points:   (      x    1    ,      y    1    ) and   (      x    2    ,      y    2    ) (which are real numbers) lying on the circumference of a circle with radius r and centred at the origin, how do I find the arc length between those two points (the arc with shorter length)?

Allyson Gonzalez · Accepted Answer

We have the following situation:Points   A and   B are given by their coordinates. So you can calculate their distance. Now, we have an isosceles triangle with given side lengths. We can calculate   α.Given   α and   r, the arclength can be calculated.

deformere692qr · Accepted Answer

Find the distance   d between these two points. Your desired arc   α is obtained from solving       π    α    =      D    d  , where   D  =  2  r is the diameter of the circle

Suppose I'm given two points: ( x 1 </msub> , y 1 </msub>

Answered question

Answer & Explanation

New Questions in High school geometry