Verify that the circles x2+y2 = 25 and (x−5)2+(y−10)2 = 50 intersect at

Question

Verify that the circles x2+y2 = 25 and (x−5)2+(y−10)2 = 50 intersect at
 A = (4, 3).
Find the size of the acute angle formed at A by the intersecting circles. You will first have
to decide what is meant by the phrase the angle formed by the intersecting circles.

bobpursley · Answer

for the angle, I would choose the two tangents (one for each circle) at the point of intersection.