Thread: Cirlcle Geometry

Can someone please help me find the radius of the circle in the center and calculate the area of the shaded region in this picture?

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Dear harp,

I can tell you only that the radius is less than 10 from so much information.

Well, the only other information I have is that the circle is in the dead center of the square and I suppose all the lines are supposed to be equal. Our teacher did not have a handout so i had to copy the diagram out quickly.

P.S. If it helps I am almost completely sure now that there is supposed to be a large circle there as well that is tangent to all the sides of the square.

Sorry dude but techinally speaking this problem is physically impossible. Even with the prior knowledge that the circle in in the middle of the lines you cannot tell how far the circle extends, in other words: the diameter. Without a diameter you cannot find a radii

Hmmm, well I just spoke to a classmate who had the entire equation. If you still cant help me I guess I'll just quit.

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Your classmate must have the entire circle written down. I am not trying to be rude but unless this is like trig or something: there is no way to do this.
Anyone disagree?

I understand you're not trying to be rude but this is all I have to go on. This question just doesn't make sense to me so i guess you're right. However, maybe you could help me interpret this: "1/4 circles radius is equal to 10." I think my friend made an error there and could use some help to figure out what it is referring to.

P.S. I now remember my teacher telling us something about the larger circle not being a circle at all but just a collection of arcs.

If 1/4 circles radius is equal to 10. Then 1/1 circles radius=40

If you multiply the entire equation by 4 then
1/4 x 4= 1
10 x 4= 40

That doesn't make sense though, does it? The entire square is 10x10 so how could the radius be 10?

I meant 40 my bad. But ya that still wouldnt make sense. The equation your friend gave has to be wrong.

Thanks for all your help but I think I'll just ask my teacher tomorrow.