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Atiksh Tomar
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Asked: 2020-10-29T05:31:07+00:00 In:

A chord of a circle of radius 10 cm subtends a right angle at the Centre. Find the area of the corresponding: (i) minor segment (ii) major sector. (Use π= 3.14)

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NCERT Solutions for Class 10 Maths Chapter 12
Important NCERT Questions
Areas Related To Circles Class,
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 12.2
Page No:230
Questions No:4

2020-2021areas related to circles classcbsechapter 12class10mathematicsncert
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    2 Answers

    1. 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-12/

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    2. Best Answer
      A chord of a circle of radius 10 cm subtends a right angle at the Centre. Find the area of the corresponding: (i) minor segment (ii) major sector. (Use π= 3.14)

      (i) Let the chord AB subtends right angle at the centre O.
      Area of segment with an angle 90°
      = 90°/360° × πr² = 1/4 × π(10)² = 1/4 × 3.14 × 10 × 10 = 78.5 cm²
      Area of triangle OAB
      = 1/2 × OA × OB = 1/2 × 10 × 10 = 50 cm²
      Area of minor segment = Area of minor sector Area of triangle OAB
      = 78.5 cm² – 50 cm² = 28.5 cm²
      (ii) Area of major segment = Area of cirlce Area of minor segment
      = πr² – 1/4πr² = (1 – 1/4)πr² = 3/4πr²
      = 3/4 × π(10)² = 3/4 × 3.14 × 10 × 10 = 235.5 cm²

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