Question 39 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at March 29, 2023 by Teachoo

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is

(a) 50√2 cm (b) 100/π cm (c) 50 √2/π cm (d) 100 √2/π cm

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Question 39 The circumference of a circle is 100 cm. The side of a square inscribed in the circle is (a) 50√2 cm (b) 100/π cm (c) 50 √2/π cm (d) 100 √2/π cm Given Circumference of a circle = 100 cm 2𝜋r = 100 r = 𝟓𝟎/𝝅 cm Now, Diagonal of square = Diameter of circle = 2 × 50/𝜋 cm = 𝟏𝟎𝟎/𝝅 cm Let side of square = a cm So, Diagonal2 = Side2 + Side2 (𝟏𝟎𝟎/𝜋)^𝟐 = a2 + a2 (𝟏𝟎𝟎/𝜋)^𝟐 = 2a2 2a2 = (𝟏𝟎𝟎/𝜋)^𝟐 a2 =1/2 (𝟏𝟎𝟎/𝜋)^𝟐 a = 𝟏/√𝟐 × 𝟏𝟎𝟎/𝜋 a = 1/√2 × (2 × 50)/𝜋 a = (𝟓𝟎√𝟐)/𝜋 cm So, the correct answer is (c)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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