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# Maths: Some Geometryby hippo2

Inside a park is a flowerbed in the shape of a triangle. The edges of the triangle have the coordinates A (-1/0), B (5/0) and C (3/4). A gardener proposes to plant lawn around the flowerbed in such a way, that the lawn surrounds the flowerbed in the shape of a circle (see drawing).

a) Give an equation for the circle.

b) Calculate the area of the lawn.

c) Close to the flowerbed is a path, which can be described as w(x)=-3x+18. Test if the lawn area can be planted without interfering with the path.

(This is a problem from today's maths test).
Featured By Owner Feb 18, 2013  Hobbyist Artisan Crafter
a) (x - 2)^2 + (y - 1)^2 = 10

b) the area is 31.415926535898

c) That line doesn't intersect.
Featured By Owner Feb 18, 2013
a) and c) are correct. But for the lawn area, you have to subtract the area of the flowerbed too.
Featured By Owner Mar 2, 2013  Hobbyist Artisan Crafter
Whoops. Ah, well. Good enough!

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February 18, 2013
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