posted by .

Two lengths are drawn from a Point P to a circle centre (o). The radius of the circle is 8.2cm and P is 12.4cm from o. Find the angle between the tangents.

Please help, I really don't understand it.

  • Math -

    If one of the lengths goes to the center, where does the other one go? Is is a tangent? You don't say so. You talk about "between the tangents" but one of the lines is not a tangent.

  • Math -

    If I understand the question, tangents are drawn to the circle from point P.
    Let those contact points be A and B
    In triangle APO,
    OP = 12.4
    and the angle at A is 90º

    let angle APO be ß
    sin ß=8.2/12.4
    ß = 41.4º

    so the angle between the two tangents is 82.8º

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Okay, so there is circle S. There are two tangents of this circle that intersect, so it almost looks like a cone?
  2. maths

    1) Circle centre (7,-2) passes through (-2,10). Calculate radius and find equation of circle. 2) AB is diameter of circle A(9,5) B(-1,-7). Find equation of circle mid point. I know i have to use the eqn (x1+x2)/2 and (y1+y2)/2 3) Find …
  3. Math

    Circle C has radius 4 inches. Circle D had radius 9 inches. These two circles are connected. Point A,B,and E are points of tangency. Find AB. From point C to point D(which is the radius of circle C plus the raduis of circle D) it is …
  4. pre calc

    EAch of 3 circles touch the other 2. Circle A=radius 8cm Circle B=radius 4cm Circle c=radius 1cm A triangle is formed by connecting the centers of the 3 traingles. Determine the largest angle for the traingle and which circle is the …
  5. maths

    The angle between two tangents from a point to a circle is 82 degree.What is the length of one of these tangents if the radius of the circle is 80mm?
  6. geometry (help steve)

    A circle of radius 1 is drawn in the plane. Four non-overlapping circles each of radius 1, are drawn (externally) tangential to the original circle. An angle γis chosen uniformly at random in the interval [0,2π). The probability …
  7. maths

    Two tangents XY and XZ are drawn from a point X to a circle with center W.If the length of XZ is 156 and the length YZ is 120,find the radius of the circle.
  8. Gss Giza , nasarawa state

    Q.1.Calculate the length of an are of a circle of radius 6 cm if the angle it subtends at the centre of circle is 6o. Q.2. Find the perimeter of a sector of a circle radius 5.2cm if the angle subtend at the centre is (a)3o (b)6o (c)135.
  9. math

    ) A chord AB of length 13cm is drawn in a circle centre O at a distance of 5cm from O. Find the radius of the circle. Stop at 1 d.p.(b) TA and TB are tangents to a circle centre O. TOC is a straight line and <ATB = 56°. Calculate …
  10. Math

    Find the exact values for the lengths of the labeled segments a, b and p drawn in green, red, and blue, respectively. Note that r=3 is the radius of the circle, and s=2 is the arc length from the point (3,0) around the circle to the …

More Similar Questions