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Ex 9.2, 3 If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (𝑇𝑎𝑘𝑒 𝜋=22/7) Radius = r = ? Given, Circumference = 154 m 2𝜋r = 154 2 × 22/7 × r = 154 (2 × 22)/7 × r = 154 r = 154 × 𝟕/(𝟐 × 𝟐𝟐) r = 77 × 7/22 r = 7 × 7/2 r = 49/2 r = 24.5 m Now, Area of circle = 𝜋r2 = 𝟐𝟐/𝟕 × (𝟐𝟒.𝟓)^𝟐 = 22/7 × (49/2)^2 = 𝟐𝟐/𝟕 × 𝟒𝟗/𝟐 × 𝟒𝟗/𝟐 = 11/7 × 49 × 49/2 = 11 × 7 × 49/2 = 11 × 343/2 = 𝟑𝟕𝟕𝟑/𝟐 = 1886.5 m2 Therefore, Radius of circular sheet is 24.5 m & Area of circular sheet is 1886.5 m2

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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo