anonymous
  • anonymous
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Geometry
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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Kamille
  • Kamille
it is not.
anonymous
  • anonymous
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Kamille
  • Kamille
Firstly, do you know the formula, which helps you to find an area of a full circle?

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anonymous
  • anonymous
pi*r^2?
Kamille
  • Kamille
yes, you are right, it is \[A=\pi r ^{2}\] so if Area of a full square is \[A=\pi r ^{2}\], then area of QUARTER of square is \[A=\frac{ \pi r ^{2} }{ 4 }\] - that's is because quarter of circle is 4 times smaller than a full circle. Do you agree with me? If yes, I can try to explain more.
anonymous
  • anonymous
Yes I agree
Kamille
  • Kamille
So, let's move on. Do you agree that area of a bolden (or shaden, how it is written in the book) can be found: \[A _{AEDB}=A _{AEC}-A _{BDC}\] - from full quarter you need to subtract the smaller part. Is that right?
anonymous
  • anonymous
That seems to be right
Kamille
  • Kamille
great! So, firstly you need to find area of AEC, right? If you need to do it, you need to have a radius,right? Any ideas how to find it? (don't forget, you have the length of AB and the length of AC, which gives you a diameter of a bigger quarter of a circle)
anonymous
  • anonymous
is the radius 8?
Kamille
  • Kamille
yes! now find the area of AEC, because you know the formula
anonymous
  • anonymous
how do you find the area? the two sides are equal to 8?
Kamille
  • Kamille
ah, I have made a mistake. radius of AEC is 4, not 8, because you have forgotten to divide by 2, because radius is 2 times smaller than a diameter no, use the formula: \[A _{AEC}=\frac{ r ^{2}\pi }{ 4 }\] you know, that r=4, what answer do youu get?
anonymous
  • anonymous
4pi

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