Circumference and Arc Length Answers

A circle is shown. Secant P N and tangent M N intersect at point N outside of the circle. Secant P N intersects the circle at point Q. The length of M N is 6, the length of Q N is 4, and the length of P Q is x.

Point O is the center of the circle.

BD and AC are chords that intersect at point Y.

A circle is shown. Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U. The length of T U is y minus 2, the length of U V is 8, the length of S W is y +4, and the length of W V is 6.