Question

A water sprinkler in a lawn sprays water as far as 7 m in all directions. Find the length of the outer edge of wet grass

Answer 1

Hint: Water sprinkler is the spraying machine that sprays the water in the circular region and it is given that the machine sprays the water as far as 7 m in all directions it means that the circular region has the 7 meters of the radius. We can use this radius to find the outer edge of the wet grass.

Complete step-by-step answer:
It is given that a water sprinkler in a lawn sprays as far as 7 meters in all directions.
Water sprinkler is the spraying machine that sprays the water in the circular region.
So, the wet area shows a circular region of radius 7 meters.
The length of the outer edge of the wet grass is the circumference of the circular region.
We know that the circumference of the circular region equals $2\pi r$, where $r$ is the radius of the circular region and pie has the value $\pi = \dfrac{{22}}{7}$.
Substitute $\dfrac{{22}}{7}$ as the value of $\pi $ and $7$ as the value of radius$\left( r \right)$ in the above formula,
Circumference of the circular region$ = 2\pi r$
Circumference of the circular region$ = 2 \times \dfrac{{22}}{7} \times 7$
Circumference of the circular region$ = 2 \times 22$
Circumference of the circular region$ = 44$
Therefore the length of the outer edge of the wet grass is about $44$ meters.

[Note: The outer edge of the wet grass is the circumference of the circular region where the sprinkler sprays the water, so we can find the outer edge using the formula for the circumference of a circle.]