Points A and B are 5 cm apart. What is the locus of points 3 cm from A and 3 cm from B?

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Points A and B are 5 cm apart. What is the locus of points 3 cm from A and 3 cm from B?

2007-04-22 07:48:56 · 2 answers · asked by Reina F 1 in Science & Mathematics ➔ Geography

2 answers

Draw two circles centered on A and B, each with a radius of 3. These circles will intersect at two points. Those two points are the locus described.

2007-04-22 07:57:04 · answer #1 · answered by Keith P 7 · 0⤊ 0⤋

The locus of points 3 cm from A and 3 cm from B is a circle in a plane perpendicular to AB passing through the midpoint of AB with a radius of
√(9 - 6.25) = √2.75 ≈ 1.6583 cm

2007-04-22 08:00:14 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋