How Much Can a Goat Eat #2?

Geometry Level 4

Find the area grazed by the goat to nearest .1


The answer is 412.7.

Guiseppi Butel by Guiseppi Butel , 90, Canada

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2 solutions

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Thanks, Niranjan, for verifying my solution.

Guiseppi Butel - 4 years, 2 months ago

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You are welcome. Where can I find your notes on calculations? Thanks,

Niranjan Khanderia - 4 years, 2 months ago

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Note Note

Guiseppi Butel - 4 years, 2 months ago

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@Guiseppi Butel – I just saw it now! Thanks. It gives me a new insight.

Niranjan Khanderia - 4 years, 2 months ago
Guiseppi Butel
Oct 19, 2014

Area with radius of 12m = 2/3 Pi *(12)^2

plus Area with radius of 9m = 2 ( 1/6 Pi (9)^2)

plus Area with radius of 6m = 2 (1/6 Pi (6)^2)

minus Area duplicated = 2 * 5.7115074 (See Note on this calculation) = 412.69 = 412.7

1 Helpful 0 Interesting 0 Brilliant 0 Confused

I'm not sure that the area duplicated is necessarily a sector of circle of radius 3.

Eric Kim - 6 years, 7 months ago

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I see what you mean.

Back to the drawing board.

Guiseppi Butel - 6 years, 7 months ago

The area duplicated are two sectors of circle of radius 3 and angle 60. But on subtracting this area I am getting 413.77 as answer. Where am I wrong ?

Abhishek Abhi - 6 years, 2 months ago

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