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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

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MrRoyal

Answer:

[tex]r = 19.0\ ft[/tex]

Step-by-step explanation:

Given

[tex]Area = 1138ft^2[/tex]

[tex]\pi = 3.14[/tex]

Required

Determine the radius of the circle

The area is calculated using;

[tex]Area = \pi r^2[/tex]

Substitute for Area and π

[tex]1138 = 3.14 * r^2[/tex]

Make r the subject

[tex]r^2 = \frac{1138}{3.14}[/tex]

[tex]r^2 = 362.420382166[/tex]

[tex]r = \sqrt{362.420382166}[/tex]

[tex]r = 19.0373417831[/tex]

[tex]r = 19.0\ ft[/tex] --- Approximated

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