Maths

A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the first quadrant. Let (r,theta) be the polar coordinates of P, chosen so that r is positive and 0<theta<2 inclusive. Find r and theta.

  1. 👍 0
  2. 👎 0
  3. 👁 142
asked by Salman
  1. WEll, r has to be 9(center with radius 9)

    x^2+y^2=9
    x^2+(y-17/2)^2= (289/4)
    subtract the first equation from the second

    (Y-17/2)^2-y^2=289/4 - 9
    -17y+289/4=289/4-9
    y= 9/17 at the point of intersection.


    sinTheta= 9/17*3= 9/51
    check my work.

Respond to this Question

First Name

Your Response

Similar Questions

  1. Probability

    Terminology: A circle of radius r is a curve that consists of all points at distance r from the center of the circle. A disk of radius r is the set of all points whose distance from its center is less than or equal to r . Thus, a

    asked by No One on November 18, 2018
  2. Check!!!

    okay so the question is: A unit circle center at the origin undergoes a series of transformations. The equation of the resulting graph is (x-3)^2+ (y+4)^2= 25 describe the transformation the unit circle underwnt Answer: The

    asked by math on February 14, 2007
  3. Math

    Circle O is centered at the origin and has a radius of 5. Circle O' is the image of circle O after a translation of T1,2. What is the center of circle O'? What is the radius of circle O'?

    asked by Collin on March 3, 2010
  4. NEED MAJOR HELP! *QUADRATIC EQUATIONS*

    Write the equation for the circle with center at (- 8, - 6) and radius of 10. (x+8)² + (y + 6)² = 10 (x+8)² + (y + 6)² = 100 (x-8)² + (y - 6)² = 100 Find the standard equation for the circle with center on the positive

    asked by Adrianna on March 20, 2012
  5. Math

    I have a question my brother asked me but I need a math expert. You have two interlocking circles and the radius of circle B goes through the center of circle A and of course the radius of circle A goes through the center of

    asked by DrBob222 on June 25, 2013
  6. Geometry

    Write the General form equations for the following circles: 1. A circle with center (1, -6) and radius 4 2. A circle with center (6, 8) and radius 10 3. A circle with center (0, 3) and radius 2√3 4. A circle with center (-0.5,

    asked by Its me again on June 13, 2017
  7. Math (urgent)

    the equation x^2+y^=25 describes a circle with center at the origin and radius 5. The line y=x-1 passes through the circle. Using the substitution method, find the points at which the circle and line intersect. a) (4,3) and

    asked by Max on September 7, 2016
  8. Maths

    1. In the xy-coordinate plane, point A is the midpoint of the segment with endpoints (2,4) and (-4,-4). What is the distance from point A to the origin? I know how to find the distance between the two points- 10. But I don't know

    asked by Lina on March 22, 2015
  9. College math

    A circle has center that the origin and radius r. What is r when the circle is tangent e^(-x^2) (but no intersection with e^(-x^2))? explain.... I can graph it and estimate it, but I don't know how to do this by hand.

    asked by Kelsey on November 27, 2017
  10. Math

    The points (4, –5) and (– 4, 1) are endpoints of a diameter of a circle. (a) Find the center of the circle. (b) Find the length of the radius of the circle. (Note that this is a distance.) Give the exact answer. Show work. (c)

    asked by Kate on June 24, 2009
  11. Geometry

    Write the equation of circle O centered at origin that passes through (9,-2) Circle B with center (0,-2) that passes through (-6,0) >For circle B, is the radius 6 in this case? So equation would be x^2+(x+2)^2=36, correct? If this

    asked by Peluche on March 16, 2016

More Similar Questions