Examples
Example 2 Important
Example 3
Example 4
Example 5 Important You are here
Example 6 Important
Example 7 Important
Example 8
Example 9 Important
Example 10
Example 11 Important
Example 12
Example 13
Example 14
Example 15
Example 16 Important
Example 17 Important
Example 18 Important
Example 19
Example 20 Important
Example 21 Important
Example 22 Important
Question 1 Deleted for CBSE Board 2025 Exams
Question 2 Deleted for CBSE Board 2025 Exams
Question 3 Deleted for CBSE Board 2025 Exams
Question 4 Deleted for CBSE Board 2025 Exams
Question 5 Important Deleted for CBSE Board 2025 Exams
Question 6 Deleted for CBSE Board 2025 Exams
Question 7 Important Deleted for CBSE Board 2025 Exams
Last updated at April 16, 2024 by Teachoo
Example 5 If the arcs of the same lengths in two circles subtend angles 65° and 110° at the center, find the ratio of their radii. We know that 𝑙 = r θ Let the radius of the two circles be r1 and r2 Length of arc of 1st Circle 𝑙 = r1 θ = r1 × 65° Converting into radians = r1 × 65° × 𝜋/(180°) = r1 × 𝟏𝟑𝝅/𝟑𝟔 Length of arc of 2nd circle 𝑙 = r2 θ = r2 × 110° Converting into radians = r2 × 110° × 𝜋/(180°) = r2 × 𝟏𝟏𝝅/𝟏𝟖 Given that Length of 1st arc = length of 2nd arc r1 × 𝟏𝟑𝝅/𝟑𝟔 = r2 × 𝟏𝟏𝝅/𝟏𝟖 𝑟1/𝑟2 = 11𝜋/18 × 36/13𝜋 𝑟1/𝑟2 = 22𝜋/13𝜋 𝒓𝟏/𝒓𝟐 = 𝟐𝟐/𝟏𝟑 Hence, r1 : r2 = 22 : 13 So, Ratio of Radius = 22 : 13