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A Horse is Placed for Grazing Inside a Rectangular Field 40m by 36m and is Tethered to One Corner by a Rope 14m Long. Over How Much Area Can It Graze. - Mathematics

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Question

A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze.

Solution

The fig shows rectangular field ABCD at corner A, a horse is tied with rope length = 14m.

The area it can graze is represented A as shaded region= area of quadrant with (radius = length) of string

Area = `1/4`× (๐‘Ž๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ ๐‘๐‘–๐‘Ÿ๐‘๐‘™๐‘’) = ๐œ‹๐‘Ÿ2

`= 1/4 ×22/7 × 14 × 14`

= (22 × 7)

= 154 m2.

Area it can graze = 154m2.

 

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Chapter 13: Areas Related to Circles - Exercise 13.1 [Page 12]

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RD Sharma Mathematics [English] Class 10
Chapter 13 Areas Related to Circles
Exercise 13.1 | Q 7 | Page 12
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