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Maths: Some Geometry by hippo2 Maths: Some Geometry by 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).
:iconknittywitty:
knittywitty 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.
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:iconhippo2:
hippo2 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.
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:iconknittywitty:
knittywitty Featured By Owner Mar 2, 2013  Hobbyist Artisan Crafter
Whoops. Ah, well. Good enough!
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