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Sneha Thakur
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Asked: 2020-10-29T05:29:50+00:00 In:

A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope Find.

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NCERT Solutions for Class 10 Science 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:8

A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m

long rope Find

(i) the area of that part of the field in which the horse can graze.

(ii) the increase in the grazing area if the rope were 10 m long instead of 5 m. (Use π = 3.14)

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 horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope Find.

      The shape of grass field, where the horse can graze is a sector with central angle 90°.
      (i) The area of the field, where the horse can graze
      = Area of sector OABO with radius 5
      = 90°/360° × πr² = 1/4 × (5)²
      = 1/4 × 3.14 × 25 = 19.625 m²
      (ii) If the rope were 10 m long instead of 5 m, the area of field where the horse can graze = Area of sector 0ABO with radius 10
      = 90°/360° × πr² = 1/4 × (10)²
      = 1/4 × 3.14 × 100 = 78.50 m²
      The increase in grazing area = (78.50 – 19.625) m² = 58.875 m²

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