Question

a lawn sprinkler rotates and sprays water in a circle it sprays an area of 283m^2 how far can it spray

Answer 1

Sprinkler can spray approximately 9.5 m.

Explanation:

Given:

Area Covered by sprinkler =283 sq m

We need to find the distance it can spray.

Solution:

Since Water sprayed by the sprinkler is in circular form.

We can say that distance it can spray is equal to the radius.

So we will find the radius, to find the distance it can spray.

Now Area of Circle is given by π times square of the radius.

Framing in equation form we get;

`\pi r^2=283\\\\r^2 =(283)/(\pi)=90.0817`

taking square root on both side we get;

`√(r^2)=√(90.0817)\\  \\r = 9.49 \ m \approx 9.5\ m`

Hence Sprinkler can spray approximately 9.5 m.