Can you solve this one III? HARD

[Tom Borck]

A square of maximum area is inscribed in a semi-circle as shown. (Not drawn to scale. Solve by the word problem.) What percent (round to the nearest tenth) of the area of the circle is outside the square?

The attached picture gives you an idea of what it would look like.

 

[coon dawg]

...........

72.5%...........

 

[beginnersluck]

Geometry is hard...can't remember all the rules and formulas!!

just give me some algebra!!!!! I'm much better at that!

 

[J.T.]

-68%-

 

[huntfish]

-68%-

I actually get 68.15286%

 

[coon dawg]

I was informed I was wrong........

but within a percent or two........lol

 

[Jorge]

I get 68.2%.

 

[J.T.]

Huntfish, I guess we're splitting hairs.
Since my calculator is set to 4 decimanl places I only got 68.17%.

 

[Dog Hunter]

68.15%

 

[huntfish]

Huntfish, I guess we're splitting hairs.
Since my calculator is set to 4 decimanl places I only got 68.17%.

Would that be the hair of a frog? Also comes down to how you establish pi. Is it 3.14 or 3.14................... (since it never ends).

 

[Tom Borck]

find ara of the square.
subtract this from area of the circle.
and then divide by area of the circle.

 

[Fletchling]

I had gotten the Y and the R, but lord you would never believe what all I did to try to figure it out from there. Something to do with not being able to see the square due to all the triangles.
Thanks for the puzzles, these are very good.

 

[Lthomas]

I am assuming that the Dia of the Circle is 20m. The same as the circle in the previous post.
If so the area of the square is 100m


If the Dia = 20m
The Rad = 10m
The circumference = 62.8319m
The Area in the circle including the area in the box is =314.1593m
Aprox estimate would be 68.169% of the circle is outside of the box.

 

[Tom Borck]

74.5%

 

[Lthomas]

74.5%

314.1593 minus 100 = 214.1593m

214.1593 / 314.1593= .6816901489 = 68%

How did you get 74.5%