A lawn sprinkler spins in a circle. The sprinkler covers a radius of 12 feet. Which choice is the closest to the area of lawn that the sprinkler can cover?
75 square feet
113 square feet
452 square feet
1,809 square feet
Which choice is the closest to the area of lawn that the sprinkler can cover?
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To find the area of the lawn that the sprinkler can cover, we use the formula for the area of a circle, which is:
[ text{Area} = pi r^2 ]
where ( r ) is the radius.
In this case, the radius ( r ) is 12 feet. So we calculate:
[ text{Area} = pi (12)^2 ]
[ text{Area} = pi (144) ]
[ text{Area} approx 3.14 times 144 ]
[ text{Area} approx 452.16 text{ square feet} ]
The closest choice to this area is 452 square feet.
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