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when the line touch the inner circumference of the circle ?

hi

how are u all

i have a math problem and since am not good in math so i need some help plz (Shake)

i have a values start from zero and step by a nigative and positive value

as in the attached pic

exmple: start value zero next value -2 then 1 then -3 ,2,-2, -2,-3,2,-3,1,-1,1,-3,1,-8

am using a **caliper **to draw a circle started from the zero point and every time i have a new value i will increase the width of the caliper gap by one degree and draw a new ciurcle....the line that start from zero will not touch the inner circumference of the circle until a certain point

since am using the graphical solution of this problem it may need a large circle to find the solution

could any one help in a numerical solution that can help me to find the y value ?

thanks