A horse is tied to a peg at one corner of a square shaped grass
field of sides 15m by means of a 5m long rope.
Answer the following questions:-
(a) What is the area of the grass field?
(i) 225m2 (ii) 225m (iii) 255m2 (iv) 15m
(b) The area of that part of the field in which the horse can graze.
(i) 19.625m2 (ii) 19.265m2 (iii) 19m2 (iv) 78.5 m2
(c) The grazing area if the rope were 10m long instead of 5m.
(i) 7.85m2 (ii) 785m2 (iii) 225m2 (iv) 78.5 m2
(d) The increase in grazing area if the rope were 10m long instead of 5m.
(i) 58.758m2 (ii) 58.875m2 (iii) 58m2 (iv) 78.5 m2
(e) The given problem is based on which concept?
(i) Coordinate geometry (ii) area related to circle
(iii) Circle (iv) None of these
Answers
Step-by-step explanation:
I hope it will be right answer
Given : A horse is tied to a peg at one corner of a square shaped grass field of sides 15m by means of a 5m long rope.
To find : What is the area of the grass field?
The area of that part of the field in which the horse can graze.
The grazing area if the rope were 10m long instead of 5m.
The increase in grazing area if the rope were 10m long instead of 5m.
The given problem is based on which concept
Solution:
area of the grass field = 15 x 15 = 225 m²
Square has 90 deg angles at sides
so Area covered by horse = (90/360) πr²
= (1/4)(3.14) * 5²
= 19.625 m²
The area of that part of the field in which the horse can graze. 19.625 m²
if rope = 10 cm then Area of Grazing = (1/4)(3.14) * 10² = 78.5 m²
increase in grazing area = 78.5 - 19.625 = 58.875 m²
The given problem is based on area related to circle
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