Question

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

Answer 1

Use the circle standard form

Explanation:

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