In the diagram above, AXB is an arc of a circle centre O and radius 10 cm with ∠AOB = 0.82 radian. AYB is an arc of a circle centre P and radius 5 cm with ∠APB = θ.
(a) the length of the chord AB,
(b) the value of θ in radians,
(c) the difference in length between the arcs AYB and AXB.
Using s = rθ
Arcs AXB = 10 × 0.41 = 4.1 cm
Arcs AYB = 5 × 1.848 = 9.24 cm
Difference in length between the arcs AYB and AXB
= 9.24 – 4.1
= 5.14 cm