Concept explainers
(a)
To find: The radius of the region covered by the circular sprinkler if it covers an area of 200 square feet.
(a)
Answer to Problem 42E
The radius of the region covered by the sprinkler is
Explanation of Solution
Given information:
A landscaper has installed a circular sprinkler that covers an area of
Formula Used:
Use the formula for area of circle.
Calculation:
As given a circular sprinkler covers an area of
Therefore, the radius of the region covered by the sprinkler is
(b)
To find: The change in the radius when the area covered by the sprinkler is increased to
(b)
Answer to Problem 42E
The change in the radius when the area covered by the sprinkler is increased to
Explanation of Solution
Given information:
A landscaper has installed a circular sprinkler that covers an area of
Formula Used:
Use the formula for area of circle.
Calculation:
As calculated in part(a), the radius of the region covered by the sprinkler when the area is
Substitute the area of the circle
So, the radius of the region covered by the sprinkler when the area is
Calculate the change in the radius.
Therefore, the change in the radius when the area covered by the sprinkler is increased to
Chapter 9 Solutions
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