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Question 37 (iii) (Choice A) If the radius(r) changes to 28m, find the angle θ so that the area of the watered region remains the same. Now, New Radius = r = 28m New Angle = 𝜃 And, Area = 98𝜋 m2 Putting these values in formula of Area of sector Area of new sector = 𝜃/(360°)× 𝜋𝑟2 98𝝅 = 𝜽/(𝟑𝟔𝟎° )× 𝝅 × (𝟐𝟖)𝟐 98𝜋 = 𝜃/(360° )× 𝜋 × 28 × 28 98𝜋 ×1/28 ×1/28 ×1/𝜋 × 360° = 𝜃 7 ×1/2 ×1/28 × 360° = 𝜃 1/2 ×1/4 × 360° = 𝜃 45° = 𝜃 𝜽 = 45°

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo