Arc length is (75/360) x 2 x (22/7) x 14 = (5/24) x 88 = 55/3 = 18.33 cm. Sector perimeter equals arc length plus two radii: 18.33 + 28 = 46.33 cm (or 46 and 1/3 cm).
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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.
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 = ...