Thread: 3 circle questions

in attachments

Jelo, dgenerationx2!

For the first two, we need this theorem:

The angle between a tangent and a secant (to the point of tangency)
. . is one-half the intercepted arc.

1) Given: . . Find:

. .

Code:

         D    * * *
          o           *
        *  *            o
       *               F *
            *
      *                   * 190°
      *      *            *
    C o                   *
        *     *
       *  *              *
    50° *   *  *        *
          *   *       *
      B - - - * o * - - - - E
                A

Therefore: . . . . answer (A)

Given: .tangent and secant . Find:

Code:

              * * *
          *           *
        *               *  C
       o D                o
                        /
      *                /  *
 200° *               /   *
      *              /    *
                    /
       *           /     *
        *         /     *
          *      /    *
              * o * - - - - - A
                B

We hafve: .

Therefore: . . . . answer (A)