On the circle A, arc MN is of the circle and on the circle K, its of the circle. If radii of the circles are 8 and 3, which is the sum of the lengths of arcs NM on both circles?

Question

On the circle A, arc MN is  of the circle and on the circle K, its  of the circle. If radii of the circles are 8 and 3, which is the sum of the lengths of arcs NM on both circles?

geometry_hater · Answer

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hero · Answer

This is tricky but segments AM, AN, KM, KN form a kite with side lengths 8,8, 3, and 3

geometry_hater · Answer

its either 6 pi 4 pi 7 pi or 8 pi

hero · Answer

Yeah, this is pretty tricky. I have some ideas on how I could solve it, but not 100% sure

anonymous · Answer

Dont forget arc MN is 1/4