Angle subtended by an arc
Last updated at May 26, 2026 by Teachoo
Transcript
Exercise Question (Page 107) A circle with centre O is drawn, and A,B,C,D are points on the circle (see Fig. 5.19). Measure the angles subtended by arc AKB and arc CLD at the centre O. If the angle at the centre is less than 180^∘, it is a minor arc. If the angle at the centre is greater than 180^∘, it is a major arc. State whether arcs AKB and CLD are minor arcs or major arcs. Let’s use protractor to measure the angles Angle subtended by arc AKB Thus, Angle subtended by arc AKB = 100° Angle subtended by arc CLD Thus, Angle subtended by arc CLD = 205° Since Angle subtend by arc AKB = 100° ∴ It is less than 180° Thus, arc AKB is minor arc We can also check this by seeing that arc is smaller than semicircle And, Since Angle subtend by arc CLD = 205° ∴ It is greater than 180° Thus, arc CLD is major arc We can also check this by seeing that arc is bigger than semicircle