Answer:
94.79 square meters.
Explanation:
Assuming the goat is tied to the peg in the ground, the area that the goat can graze on can be represented by a circle with radius equal to the length of the rope.
Given that the length of the rope is 5.5 meters, the radius of the circle can be calculated as:
r = length of rope = 5.5 meters
The area of a circle is given by the formula:
A = πr²
where π (pi) is approximately equal to 22/7 or 3.14.
So, substituting the value of r, we get:
A = π × (5.5)²
= 3.14 × (5.5)²
= 3.14 × 30.25
= 94.79 square meters (approx.)
Therefore, the area of grass that the goat can eat is approximately 94.79 square meters.