The points (0,4), (0,0), (6,0) are on a circle in the X-Y plane. What is the radius of the circle?
2006-11-01 17:29:06 · 4 answers · asked by Jackie...boy 1 in Science & Mathematics ➔ Mathematics
if the pts (0,4), (0,0) and (6,0) are on the circle, the center of the circle must be at (2, 3). The distance from the center to any point on the circle is the radius. The distance from (2,3) to (0,0), a point on the circle, can be found using the pythagorean theorem: a^2 +b^2=c^2
Let a=2 and b=3 with c= radius
4+9=c^2
c is the square root of 13. This is the radius.
2006-11-01 17:42:12 · answer #1 · answered by Maia 3 · 0⤊ 0⤋
â13
2006-11-02 01:46:27 · answer #2 · answered by Frog Head Hunter 2 · 0⤊ 0⤋
From the 1st pair of points, center is at x,2
From the 3rd pair of points, center is at 3,y, so
center is at (3,2)
r = sqrt((6-3)^2 + 2^2)
r = sqrt(9 + 4)
r = sqrt(13)
r = 3.60555
2006-11-02 01:42:27 · answer #3 · answered by Helmut 7 · 0⤊ 0⤋
Depends on the size of the squares on your graph paper.
2006-11-02 01:30:51 · answer #4 · answered by Sarah C 2 · 0⤊ 0⤋