![]() ![]() We say that the angle in a semi-circle is 90. O = + ext of Δ O Now O = O radii equal = s opp = sides O =Ħ Similarly, in Δ O, O = O O = O O = ( ) O = THORM The angle subtended at the circle by a diameter is a right angle. O = + ext of Δ O Now O = O radii equal = s opp = sides O = Similarly, in Δ O, O = O + O = + O + O = (+ ) O = onsider iagram. THORM The angle subtended by an arc at the centre of a circle is double the size of the angle subtended by the same arc at the circumference (on the same side of the chord as the centre). Subtended ngles rc or chord subtends at the circumference of the circle and O at the centre. ![]() Show that O and explain why O passes through the centre O. square is fitted into the semi-circle as shown in the diagram. (line from centre to midpt of chord) If M = M then OM =ĥ (e) The radius of the semi-circle centre O is 5 cm. In ΔOM and Δ OM: (a) O = O radii (b) M = M = 90 given (c) OM = OM common ΔOM Δ OM RHS M = M THORM (onverse) The line segment joining the centre of a circle to the midpoint of a chord is perpendicular to the chord. (line from centre to chord) If OM then M = M roof Join O and O. THORMS INVOLVING TH NTR OF IRL THORM The line drawn from the centre of a circle perpendicular to a chord bisects the chord. Secant: line passing through two points on the circle. Tangent: line touching the circle at only one point. iameter: chord passing through the centre of the circle. hord: line with end-points on the circumference. segment radius sector Radius: line from the centre to any point on the circumference of the circle. 1 MIN TION SRIS With the ducators, for the ducators MTHMTIS WORKSHO ULIN GOMTRY TXTOOK GR (hapter 8) resented by: Jurg asson ttending this Workshop = 0 S ointsģ HTR 8 ULIN GOMTRY SI IRL TRMINOLOGY secant tangent diameter chord arc.
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