Question

Area of circle questions.

Answer 1

I can do normal circle area questions, but these are hard for me.

Answer 2

Ok, the area of an arc is equal to \[\pi r^2*(C/360)\], where r = radius and C = the central angle. We are given the diameter, which is 6.4. The radius is always the diameter divided by two, so r = 3.2. Now just use these values. It now becomes \[pi (3.2^2)*(185/360)\]. This comes out to about 16.5. As for number 10, this one is a bit more complex. You can do it like this. Find the circle area with \[pi * r^2\]. Given that r = 18, the area of the ENTIRE circle is 324*pi or about 1017.9. Now, you can find the area of that little sliver by subtracting the area of the triangle form the area of the arc. I'll save you that labor and tell you that the triangle's area is 140.6. The arcs area is 169.7. The little area that is not included is now found with 169.7 - 140.6. This equals 29.1. Now, subtract 29.1 from 1017.9. That comes out to 988.8. And now because I did not realize the answers are not simplified, this is also equal to the last answer, \[(270\pi + 81\sqrt{3})\]. Aaaand that seems to cover it.

Answer 3

THANK YOU. I would have NEVER gotten it.

Answer 4

You're welcome. What is important though is if you understand. Hopefully I explained it well enough.

Answer 5

Yeah, I understand. When I don't understand, I'll save it as a bookmark and study it later, so no need to be worried.

Answer 6

Alright good. Any more I could help with?

Answer 7

Maybe in a sec. I have to save them to a pic before I ask the question.