There is no such thing as a 'fresh start' on Monday. There is only the next hour.

Advanced Geometry — quick quiz

5 real SZF IOM questions on Advanced Geometry. Instant scoring and solutions, no signup — see where you stand in ~3 minutes.

Question 1 of 5

HARD

In a circle with center O, two chords AB and CD intersect at point P inside the circle such that AP = 4 cm, PB = 6 cm, and CP = 3 cm. A tangent from external point Q touches the circle at point T, and QT = 12 cm. If QP passes through the center O and QPT are collinear with P between Q and T, what is the length of the radius of the circle?