If the vertices of quadrilateral PQRS lie on the circumference of a circle, is PQRS a square?

(1) Side PS is equal in length to a radius of the circle.

(2) The degree measure of minor arc QR is 60.

OA is D.

Just wanted to confirm 2 properties of a square-
1. Do the diagonals of a square bisect each other at right angles?
2. If a square is inscribed within a circle, does each side of the square subtend an arc of 90 degrees?