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Mathematics 6 Online
OpenStudy (darkbeautystar):

What is the best approximate for the blue shape’s area? The black dot just marks center, include it.

OpenStudy (darkbeautystar):

OpenStudy (darkbeautystar):

@KamiBug

OpenStudy (darkbeautystar):

Can you open that?

OpenStudy (kamibug):

Yes. :) I'll brb!

OpenStudy (darkbeautystar):

Ok!

OpenStudy (kamibug):

Okay, let's figure this out step by step...it's a bit tricky. XD First let's find the area of the whole circle. Know how to do that?

OpenStudy (darkbeautystar):

|dw:1457037545569:dw|

OpenStudy (darkbeautystar):

Is that right..I think it is

OpenStudy (kamibug):

Close. The 2 should actually be an exponent on radius. :) You have nice handwriting by the way ^.^ \[\pi * r^2\]

OpenStudy (darkbeautystar):

Thanks! lol

OpenStudy (kamibug):

Np! :) So using that formula what do you get for area?

OpenStudy (darkbeautystar):

I am not sure! 20*12*2

OpenStudy (kamibug):

The radius of the whole big circle can be found by taking half the diameter. The diameter is 20 so the radius is 10. Therefore \[A = 3.14 * 10^2 \]

OpenStudy (darkbeautystar):

314

OpenStudy (kamibug):

Right! Now let's pretend the smaller white circle in the middle doesn't have that rectangle in it and let's find it's area. Then we'll subtract that area from the area of the big circle and later we'll add back the area of the rectangle...does that make sense? Lol xD

OpenStudy (darkbeautystar):

The first part doesn't

OpenStudy (darkbeautystar):

Just explain the first part step through step and I will get it

OpenStudy (kamibug):

Okay so what I mean is, let's find the area of the circle in the middle. X3 Lol How do you think we can do that?

OpenStudy (darkbeautystar):

Im not sure

OpenStudy (kamibug):

Just like we did with the bigger circle...we gotta use the radius... :) The radius of the smaller circle is 6 bc the diameter is 12, see it ?

OpenStudy (darkbeautystar):

So 6*12^2

OpenStudy (darkbeautystar):

??

OpenStudy (kamibug):

Not quite! Again, the formula for area of a circle is 3.14 * r^2 So it'd be 3.14 * 6^2

OpenStudy (darkbeautystar):

Oh ya

OpenStudy (darkbeautystar):

113.04

OpenStudy (kamibug):

Right. Now let's subtract that from the first area we found. :) 314 - 113.04 = ?

OpenStudy (darkbeautystar):

200.96

OpenStudy (kamibug):

Right! Now let's get the area of the rectangle and add it to that bc it's blue.

OpenStudy (darkbeautystar):

The area should be 36 because 3*12

OpenStudy (kamibug):

Correct. :D So You answer should be 36 + 200.96 = ?

OpenStudy (darkbeautystar):

236.96! Thank you so much!!!

OpenStudy (kamibug):

No problem! :D

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