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

Last updated at May 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

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Book a free demo

Transcript

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)

Next: Question 40 → Ask a doubt

Made by

Davneet Singh

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.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular