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Yash Singh
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Asked: 2020-10-30T03:37:42+00:00 In:

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the Centre is 25 cm. The radius of the circle is.

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Poll Results

83.33%(A) 7 cm ( 10 voters )
8.33%(B) 12 cm ( 1 voter )
0%(C) 15 cm
8.33%(D) 24.5 cm ( 1 voter )
Based On 12 Votes

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NCERT Solutions for Class 10 Maths Chapter 10
Important NCERT Questions
Circles
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 10.2
Page No:213
Questions No:1

2020-2021cbsechapter 10circlesclass10mathematicsncert
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    2 Answers

    1. Best Answer
      From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the Centre is 25 cm. The radius of the circle is.

      Let O be the centre of the circle.
      Given: OQ = 25 cm and PQ = 24 CM
      We Know that the radius is perpendicular to tangent. Therefore, OP ⊥PQ
      In ΔOPQ, by pythagoras theorem,
      OP² + 24² = 25² ⇒ OP² = 625 – 576 ⇒ OP² = 49 ⇒OP = 7
      Therefore, the radius of circle is 7 cm. Hence, the option (A) is correct.

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    2. Get Hindi Medium and English Medium NCERT Solution for Class 10 Maths to download.
      Please follow the link to visit website for first and second term exams solutions.
      https://www.tiwariacademy.com/ncert-solutions/class-10/maths/chapter-10/

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