Post a New Question

Calculus

posted by .

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.

  • Calculus -

    Triangle with two sides of length 8.5 and one of length 9
    side 1 origin to (0,8.5 ), length 8.5
    side 2, (0,8.5) to P, length 8.5
    side 3, origin to P, length 9 (this is r of course)

    find angle in triangle at origin
    cos A = 4.5/8.5
    find A from that
    then
    Theta = 90-A in degrees or pi/2 - A if using radians

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 original …
  2. Calculus

    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 …
  3. Math

    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 …
  4. 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 …
  5. geometry

    Two circles of equal radius intersect each other such that each circle passes through the center of the other circle. Find the equation for the perimeter of this figure.
  6. 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 x-axis …
  7. math

    two circles intersect at point T.if the small circle has a raduis of 4 and C is the center of the larger circle,then the diameter of the larger circle must be 1]4 2] 8 3] 12 4]16 5] not enough information is given
  8. Geometry

    2 circles with centers O and O' are drawn to intersect each other at points A and B. Center O of one circle lies on the circumference of the other circle. CD is drawn tangent to the circle with center O' at A. Prove that OA bisects …
  9. 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?
  10. 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 (-4,-3) …

More Similar Questions

Post a New Question