Question

Three cows are tied at A , B , C with ropes of length 7m.Find the area grazed by the 3 cows, inside the grass plot.

please answer quickly ..

Answer 1

Answer:

77 m²

Step-by-step explanation:

Sum of angles in a triangle = 180º

⇒ Sum of ∠A + ∠B + ∠C = 180º

Length of the rope = 7m (Given)

Find the area grazed:

Area = θ/360 x πr²

Area = 180/360 x π(7)² = 77 m²

Answer: The area is 77 m²

Answer 2

$\huge\underline\mathtt\red{Solution:}$

Let the angles of the triangle be a,b & c ;

Area grazed by the cow
= area of a sector
= (∅/360)×πr²

1. Area grazed by 1st cow
= (a/360)×π×7²
= (a/360) × 22×7
= 77a/180

2. Area grazed by 2nd cow
= (b/360)×(22/7)×7²
= 77b/180

3. Area grazed by 3rd cow
= (c/360)×(22/7)×7²
= 77c/180

•Total area grazed by the cows

= (77a/180)+(77b/180)+(77c/180)
= (77/180) (a+b+c)
= (77/180)×(180)
-------(a+b+c=180° -> angle sum property of a triangle)
= 77 m²