The two circles intersect at two points P and Q. PR and PS are diameters of the two circles. What is ∠PQR ?

Question

Accepted Answer

Given two circles intersecting at points P and Q, and PR and PS are diameters of the two circles respectively.

Since PR is a diameter of the first circle, angle PQR subtended by the diameter PR at any point Q on the circle is a right angle (90°) according to the Thales' theorem.

Similarly, PS is a diameter of the second circle, so angle PQS is also 90°.

Therefore, the angle ∠PQR formed at the intersection point Q by the points P and R is 90°.

Answer

Answer

Answer