A goat is tethered to a stake in the ground with a 5 m rope. The goat can graze to the full length of the rope a fulll 360 around the stake. How much area does the goat have in which to graze? What would be the figure?
A = pi * r^2
A = 3.14 * 5^2
A = 3.14 * 25
A = ?
To determine the area in which the goat can graze, we can visualize it as a circle with the stake as its center, and the rope as the radius. The formula to calculate the area of a circle is A = π * r^2, where A is the area and r is the radius.
In this case, the radius is 5 meters, since the length of the rope is 5 meters. Plugging the value into the formula will give us:
A = π * (5m)^2
A = 25π
So, the area in which the goat can graze is 25π square meters. The figure would be a circular region with a radius of 5 meters centered around the stake.
To find the area that the goat can graze, we need to consider the area of a circle. The goat can move around the stake, which forms a circle with a radius of 5 m.
The formula to calculate the area of a circle is A = π * r^2, where A represents the area and r represents the radius.
Substituting the given radius value, we get: A = π * 5^2.
Simplifying the calculation: A = π * 25.
The value of π (pi) is approximately 3.14. Substituting this value, we find: A ≈ 3.14 * 25.
Calculating further, we get: A ≈ 78.5 square meters.
Therefore, the goat has approximately 78.5 square meters of area in which to graze. The figure representing this area would be a circle, as the goat can move freely around the stake forming a circular area.