Questions on Word Problems: Travel and Distance answered by real tutors!

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Question 149807: The owner of a baseball team had a stadium built such that the outfield fence was the same distance from home plate at all points. About how many acres did the fair area of the baseball field cover ?
(1 acre = 43,560 square feet)
There is a drawing of the field and the length of each side is 350 ft
The book says the answer to this problem is 2.2. Can someone work this out for me ? THANK YOU !: The owner of a baseball team had a stadium built such that the outfield fence was the same distance from home plate at all points. About how many acres did the fair area of the baseball field cover ?
(1 acre = 43,560 square feet)
There is a drawing of the field and the length of each side is 350 ft
The book says the answer to this problem is 2.2. Can someone work this out for me ? THANK YOU !
Answer by Alan3354(564) About Me  (Show Source):
You can put this solution on YOUR website!
The owner of a baseball team had a stadium built such that the outfield fence was the same distance from home plate at all points. About how many acres did the fair area of the baseball field cover ?
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Since it's the same distance, it's part of a circle.
Area = PI*r^2/4 (it's 1/4 of a circle)
Area = PI*350*350/4 square feet
= 96211.27 sq ft
= 2.209 acres
Question 149807: The owner of a baseball team had a stadium built such that the outfield fence was the same distance from home plate at all points. About how many acres did the fair area of the baseball field cover ?
(1 acre = 43,560 square feet)
There is a drawing of the field and the length of each side is 350 ft
The book says the answer to this problem is 2.2. Can someone work this out for me ? THANK YOU !: The owner of a baseball team had a stadium built such that the outfield fence was the same distance from home plate at all points. About how many acres did the fair area of the baseball field cover ?
(1 acre = 43,560 square feet)
There is a drawing of the field and the length of each side is 350 ft
The book says the answer to this problem is 2.2. Can someone work this out for me ? THANK YOU !
Answer by stanbon(17981) About Me  (Show Source):
You can put this solution on YOUR website!
The owner of a baseball team had a stadium built such that the outfield fence was the same distance from home plate at all points. About how many acres did the fair area of the baseball field cover ?
(1 acre = 43,560 square feet)
There is a drawing of the field and the length of each side is 350 ft
The book says the answer to this problem is 2.2.
---------------
The baseball field covers one-fourth of a circle with radius = 350 ft.
-----------------
Area = (1/4)(pi)r^2
Area = (1/4)(pi)*350^2 = (1/4)384845.1001 = 96211.275sq. ft.
----------------
Dividing by 43,560 you get 2.208... acres
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Cheers,
Stan H.