Circumference and Arc Length Answers

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

BD and AC are chords that intersect at point Y.

Line segment QP is tangent to the circle.

AX and EX are secant segments that intersect at point X.

Circle C is inscribed in triangle JEG.

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.

Point O is the center of the circle.

A circle is shown. Secant X Z and tangent W Z intersect at point Z outside of the circle. Secant X Z goes through the center of the circle and intersects the circle at point Y. The length of W Z is k + 4, the length of Z Y is k, and the length of X Y is 12.

A circle is shown. Chords Q S and R T intersect at point A. The length of Q A is 9, the length of A S is 4 x, the length of T A is 12, and the length of A R is x + 2.

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Circle C is inscribed in triangle JEG.

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

SU and VT are chords that intersect at point R.

A circle is shown. Secant X Z and tangent W Z intersect at point Z outside of the circle. Secant X Z goes through the center of the circle and intersects the circle at point Y. The length of W Z is k + 4, the length of Z Y is k, and the length of X Y is 12.