Using arc length formula (θ / 360) x 2 x π x r gives: (i) (60/360) x 2 x (22/7) x 3.5 = 11/3 = 3.67 cm, and (ii) (120/360) x 2 x (22/7) x 6.3 = 13.2 m.
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Using C = 2 x π x r with π = 22/7 gives: (i) 2 x (22/7) x 7 = 44.0 cm, (ii) 2 x (22/7) x 10 = 62.9 cm, and (iii) 2 x (22/7) x 12 = 75.4 ...
Using perimeter formula 2 x π x r = 44 with π = 22/7, we get 2 x (22/7) x r = 44. Dividing both sides by 44/7 gives radius r = 7 cm.
Rectangle area is 3 x 2 = 6 m². With diameter 1 m, circle radius is 0.5 m, so circle area is π x (0.5)² = π / 4 m². The landing probability is (π / 4) / 6 = ...
List (iv) {0, 1, 2, 3} is the correct sample space because three tossed coins can yield 0, 1, 2 or 3 heads. The other lists either omit possible outcomes or include an impossible outcome.