SOLUTION: A gardener is planting flowers in a circular bed. If he plants 1256 flowers which are p.lanted 4 to a square metre,find the diameter of this bed
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Question 989673: A gardener is planting flowers in a circular bed. If he plants 1256 flowers which are p.lanted 4 to a square metre,find the diameter of this bed Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! "he plants 1256 flowers which are planted 4 to a square metre", so 1256/4 = 314 square meters are used up.
Area of a circle
A = pi*r^2
Plug in the area A = 314 and solve for r
A = pi*r^2
314 = pi*r^2 ... replace A with 314
314 = 3.14*r^2 ... replace pi with 3.14
314/3.14 = (3.14*r^2)/3.14 ... Divide both sides by 3.14.
100 = r^2
r^2 = 100
sqrt(r^2) = sqrt(100) ... take the square root of both sides
r = 10
So the radius is 10, making the diameter 2*10 = 20 meters
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