If the radius(r) changes to 28m, find the angle θ so that the area of - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic

part 2 - Question 37 (iii) (Choice A) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

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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