Question

A circular lawn has an area of 1138 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle? Round your answer to one decimal place and use π = 3.14 π = 3.14

Answer 1

`r = 19.0\ ft`

Explanation:

Given

`Area = 1138ft^2`

`\pi = 3.14`

Required

Determine the radius of the circle

The area is calculated using;

`Area = \pi r^2`

Substitute for Area and π

`1138 = 3.14 * r^2`

Make r the subject

`r^2 = (1138)/(3.14)`

`r^2 = 362.420382166`

`r = √(362.420382166)`

`r = 19.0373417831`

`r = 19.0\ ft` --- Approximated