2007-06-20 20:22:17 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Find the distance between two centers of the two circles. If the distance is less than (r1+r2), then the two circles must intersect.
2007-06-20 20:37:05 · answer #1 · answered by sahsjing 7 · 1⤊ 0⤋
A great circle is formed by the intersection of a plane and a sphere, the origin (0,0,0) being a point on the plane and being the center of the sphere. 2 different planes intersect in a line passing through the origin (0,0,0). This line will intersect the sphere at 2 points, which are where the 2 great circles intersect. Showing this algebraically is straightfoward.
2007-06-20 20:41:13 · answer #2 · answered by Scythian1950 7 · 0⤊ 0⤋
consider a sphere and a great circle (the equator). If a second circle on the sphere does not intersect the equator, then it lies entirely in one hemisphere, say the northern hemisphere. therefore it does not divide the sphere into two equal parts (since the volume of one part contains the entire southern hemisphere plus part of the north. therefore the second circle is not a great circle.
2007-06-20 20:45:25 · answer #3 · answered by holdm 7 · 1⤊ 0⤋
Great circles on a sphere all have their centres at the centre of the sphere, and their radii equal to the radius of the sphere. Thus, no two great circles are parallel, and any two must intersect.
2007-06-20 20:42:08 · answer #4 · answered by Anonymous · 0⤊ 0⤋
draw 2 circles
the 2nd circle must b above the 1st 1 and then ur circles will intersect
2007-06-20 20:29:16 · answer #5 · answered by pokemon maniac 6 · 0⤊ 0⤋
Two circles in a single plane must intersect if they share two sets of identical cordinates within that plane.
2007-06-20 20:33:35 · answer #6 · answered by Anonymous · 0⤊ 0⤋