A horse is tied to the …

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

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

(2) the increase in the grazing area if the rope were 10 m long instead of 5 m.

Posted by Jota Singh 7 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Naveen Sharma 7 years, 2 months ago

Ans. (1)The horse can graze a sector of 90° in a circle of 5 m radius.
Area that can be grazed by horse = Area of sector OACB

=> $\frac{90}{360} {πr}^{2} = \frac{1}{4} (3.14) \times (5)^{2} = 19.625 m^{2}$

(2) if Rope is 10m Long = $\frac{90}{360} {πr}^{2} = \frac{1}{4} (3.14) \times (10)^{2} = 78.5 m^{2}$

increase in area = 78.5 - 19.625 = 58.875m²

1Thank You

ANSWER

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