13.1 Construction of a Circle
13.1(i) To locate the centre of a given circle 13.1(ii) Draw a circle passing through three given noncollinear points:13.1(iii-a) To complete the circle by finding the centre when a part of a circumference is given13.1(iii-b) To complete the circle without finding the centre when a part of its circumference is given

13.2 CIRCLES ATTACHED TO POLYGONS
13.2(i) Circumscribe a circle about a given triangle.13.2(ii) inscribe a circle in a given triangle:13.2(iii) Escribe a circle to a given triangle:13.2(iv) Circumscribe an equilateral trianglr about a given circle13.2(v) Inscribe an equilateral triangle in a given circle13.2(vi) Circumscribe a square about a given circle.13.2(vii) Inscribe a square in a given circle13.2(viii) Circumscribe a regular hexagon about a given circle.13.2(ix) Inscribe a regular hexagon in a given circle:

13.3 TANGENT TO THE CIRCLE
13.3(i) To draw a tangent to a given arc without using the centre through a given point P:13.3(ii-a) To draw a tangent to a circle from a given point P at a given point on the circumference:13.3(ii-b) To draw a tangent to a circle from a given point P which lies outside the circle:13.3(iii)To draw two tangents to the circle meeting each other at a given angle:13.3(iv-a) To draw direct or (external) common tangents to equal circles:13.3(iv-b) To draw transverse or (internal) common tangents to two equal circles:13.3(v-a) To Draw direct or (external) common tangents to (two) unequal circles:13.3(v-b) To draw to transverse or internal common tangents to two unequal circles:13.3(vi-a)To draw tangent to two unequal touching circles: 13.3(vii-a) To draw a circle which touches both the arms of a given angle:13.3(vii-b) To draw a circle touches two convergent lines and passing through a given point between them:13.3(vii-c) To draw a circle which touches three converging lines: