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In a circle of diameter 42cm ,if an arc subtends an angle of 60° at the centre where π = 22/7,then the length of the arc is

(a) 22/7  cm        (b) 11 cm    (c) 22 cm  (d) 44 cm

 

This question is inspired from Question 14 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard

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Question 2 In a circle of diameter 42cm ,if an arc subtends an angle of 60° at the centre where 𝜋 = 22/7,then the length of the arc is (a) 22/7 cm (b) 11 cm (c) 22 cm (d) 44 cm Given Diameter = 42 cm ∴ Radius = 21 cm Length of Arc = 𝜽/𝟑𝟔𝟎× 𝟐𝝅𝒓 = (60°)/(360°) × 2 ×22/7 × 21 = 1/6 × 2 × 22/7 × 21 = 22 cm So, the correct answer is (c)

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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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.