2007-11-14 12:58:15 · 9 answers · asked by Ryan A 1 in Science & Mathematics ➔ Mathematics
The point (3, 3) is located at SQRT(9+9) = 3√2 from the centre (0, 0). Since all points in a circle are at equal distance from the centre (by definition of circle), then that is your radius.
Distance from (a, b) to (c, d) on an XY plane is calculated with:
Distance = SQRT[ (a-c)^2 + (b-d)^2 ]
By definition, distance is always positive.
2007-11-14 13:03:46 · answer #1 · answered by Raymond 7 · 0⤊ 0⤋
Graph the two to see how many points of intersection there are; there should be two. Now, y = x^2 and x^2 + (y-1)^2 = 9, which means x^2 = 9 - (y-1)^2; since we've solved for x^2, set the sides equal to each other, so y = 9 - (y-1)^2 and y = 9 - (y^2 - 2y + 1) = -y^2 + 2y + 8. Therefore y^2 - y - 8 = 0. This doesn't factor, so use the Quadratic Formula; y = (1 +/- sqrt33)/2 (in theory) but we know that only the positive y-value is the root. Substitute this for y and solve for x; x = +/- sqrt[(1 +/- sqrt33)/2].
2016-04-04 01:46:38 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Draw a triangle from the orgin to that point. Then the legs are both 3. Use the Pythagorean theorem to solve for the hypotenuse which equals the radius.
3^2 + 3^2 = r^2
9 + 9 = r^2
18= r^2
square root of 18 = r
or 3 square root of 2
2007-11-14 13:05:41 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Draw the circle, and mark the point (3,3). Can you see how you can use trigonometry to find the radius?
You can draw a triangle with side lengths 3 and 3, so the hypotenuse (and radius) is given by:
r = Sqrt[18] units
2007-11-14 13:03:23 · answer #4 · answered by Dan A 6 · 0⤊ 0⤋
we know that the formula of a circle with its center at the origin is x^2 + y^2 = radius^2
now we can plug in the x and y coordinate of the point they gave u.
3^2 + 3^2 = radius^2
18=radius^2
sqrt(18) = 3 sqrt(2) = radius
2007-11-14 13:04:44 · answer #5 · answered by Ari 6 · 0⤊ 0⤋
you should draw this on paper. you will see that you have a triangle of sides 3,3,& c.
you will need to use a^2 + b^2 =c^2
9+9=x^2
c=sq-root(18)
c is the radius
2007-11-14 13:04:29 · answer #6 · answered by info2know 3 · 0⤊ 0⤋
you use the formula xsquare + ysquare= radius square
so you sub in the points(3,3) into their places so it wil be
3square+ 3square=radius square
9+9=rsquare
18=radius square
take square root of 18 and your radius is 4.24 or round it off to one decimal place it is 4.2.
2007-11-14 13:15:42 · answer #7 · answered by confuzzed.. 2 · 0⤊ 0⤋
Use the distance formula.
2007-11-14 13:03:18 · answer #8 · answered by roguetrader12002 4 · 0⤊ 0⤋
sqrt(9+9)
2007-11-14 13:20:05 · answer #9 · answered by ? 4 · 0⤊ 0⤋