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Ex 9.2
Last updated at April 16, 2024 by Teachoo
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