A circle has a center at (7 ,9 )(7,9) and passes through (1 ,3 )(1,3). What is the length of an arc covering (3pi ) /4 3π4 radians on the circle?

1 Answer
Yonas Yohannes
Jan 24, 2016

Use the circle standard form

Explanation:

Circle equation standard form:
(x-7)^2 + (y-9)^2 = 61 (x−7)2+(y−9)2=61
circle centered at (7, 9)
Circumference, C = Dpi; D = 2r C=Dπ;D=2r
Thus arc length of the 3/4pi34π
a_(3/4pi)= 3/4pi D = 3/2 sqrt(61)a34π=34πD=32√61

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