Fuel consumed is proportional to kinetic energy gained. The first day total mass is 160 kg, and the second day total mass is 200 kg. The required ratio of fuel used is 160 to 200, which simplifies to 4 is ...
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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).
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.