CBSE Class 10 Maths (Standard) 2024 · Paper 30/3/1 · Question 36

Areas Related to Circles 4 marks Medium

A stable owner has four horses. He usually tie these horses with

7

m long rope to pegs at each corner of a square shaped grass field of

20

m length, to graze in his farm. But tying with rope sometimes results in injuries to his horses, so he decided to build fence around the area so that each horse can graze. Based on the above, answer the following questions :

(i)Find the area of the square shaped grass field.[1]
(ii)(a)Find the area of the total field in which these horses can graze. (Use $π = 3.14$ )[2]
(ii)(b)OR If the length of the rope of each horse is increased from $7$ m to $10$ m, find the area grazed by one horse. (Use $π = 3.14$ )[2]
(iii)What is area of the field that is left ungrazed, if the length of the rope of each horse is $7$ cm?[1]

Answer

(i) The area of the field is

400

^{2}

. (ii)(a) The horses can graze

154

^{2}

(

153.86

^{2}

with

π = 3.14

). OR (ii)(b) One horse with a

10

m rope grazes

78.5

^{2}

. (iii) The ungrazed area is

246

^{2}

(

246.14

^{2}

with

π = 3.14

🔒 Step-by-step solution

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CBSE Class 10 Maths (Standard) 2024 · Paper 30/3/1, Question 36 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2024 · Paper 30/3/1 · Question 36

Answer

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