Construct an angle PQR = 45˚. Mark a point S on QR such that QS = 4.5 cm. Construct a circle to touch PQ at Q and also to pass through S.
Steps of construction :
(i) Draw PQX = 90˚
(ii) Bisect PQX and draw PQR = 45˚
(iii) Cut off QS = 4.5 cm from QR.
(iv) bisector of QS and it is intersect of QX at O.
(v) With O as centre and radius = OQ (or OS draw the required circle).