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Avkumar Singh

· started a discussion

· 1 Months ago

@ (Question:99312.0)

270 kaise aa gaya

Question:
A goat is tied to a pole fixed at a corner outside a room with a square base in a grass field. It is tied using a 14 m long rope. The side of the base of the room is 21 m. Find the area of the field over which the goat can graze (in sq. m).
Options:
A) 484 
B) 440 
C) 418 
D) 462
Solution:
Ans: (d) 


Let the goat be tied at P.

The area over which the goat could graze = sum of the areas of the regions A and B = Area of a

sector of radius 14 m and central angle 270°
\(=\cfrac{270°}{360°}π(14)^2 sq. m\)
\(=\cfrac{3}{4}\cfrac{22}{7}196 sq. m\)
\(=\cfrac{3}{4}616 sq. m = 462 sq.m.\)

Knowledge Expert

· commented

· 1 Months ago

Dear student,
Central angle of circle=360 degrees
Angle made by square=90 degees
Angle required=360-90=270

Knowledge Expert

· commented

· 1 Months ago

Dear student,
Central angle of circle=360 degrees
Angle made by square=90 degees
Angle required=360-90=270
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