In the circle with centre O, PQ and RS are diameters. M and N are points on the arcs QR and QS respectively and RX=SY then PXQY is a parallelogram.
PS is the diameter of a circle of radius 6 cm. Q and R are points on the diameter such that PQ, QR and RS are equal. Semicircles are drawn with PQ and QS as diameters, as shown in the figure. Find the perimeter of the shaded region.(take π = 3.14)
PQ and RQ are chords of a circle equidistant from the centre and S is a point on the circle,such that QS forms diameter. Prove that the diameter QS bisects ∠PQR and ∠PSR.