A rotating water sprinkler can spray water a distance of 15m. What area of grass can the sprinkler cover?

the area of a circle with radius 15 is pi r^2 = 225pi

Area of circle = π(r^2)

To determine the area of grass that the sprinkler can cover, we need to find the area of the circle that is formed by the sprinkler's spray.

The formula to calculate the area of a circle is:

A = π * r^2

where A is the area and r is the radius of the circle.

In this case, the sprinkler's spray reaches a distance of 15 meters, which is the diameter of the circle. To find the radius, we need to divide the diameter by 2:

r = 15m / 2 = 7.5m

Now we can plug this value into the formula to find the area:

A = π * (7.5m)^2

Calculating the area:

A = 3.14 * 56.25m^2

A ≈ 176.625m^2

Therefore, the sprinkler can cover an area of approximately 176.625 square meters.

To find the area of grass that the sprinkler can cover, we need to determine the shape of the area covered by the sprinkler's spray.

Since the sprinkler sprays water in a circular pattern, the area it covers will be a circle.

To calculate the area of a circle, we need the radius.

Given that the sprinkler can spray water a distance of 15m, we can use this as the radius of the circle.

The formula for the area of a circle is:

A = π * r^2

where A is the area and r is the radius.

Substituting the value of the radius into the formula, we get:

A = π * (15m)^2

Now, we can calculate the area:

A = π * (225m^2)

Using the value of π as approximately 3.14, we can compute the area:

A ≈ 3.14 * 225m^2

A ≈ 706.5m^2

Therefore, the area of grass that the sprinkler can cover is approximately 706.5 square meters.