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December 13th, 2018, 06:03 PM  #1 
Newbie Joined: Dec 2018 From: Los angeles Posts: 1 Thanks: 0  Find the area of the shared region.
So far, for number 14 I believe the area of the circle is 12pi. I just don't know how to solve the additional information. For number 15, I'm completely lost. Please help. Last edited by skipjack; December 13th, 2018 at 07:33 PM. 
December 13th, 2018, 06:50 PM  #2  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,342 Thanks: 1024  Quote:
If so, what grade are you in? 14: area is pi * r^2 = pi * 6^2 = pi * 36 15: what is the area of the right triangle in top right quadrant? Last edited by skipjack; December 13th, 2018 at 07:34 PM.  
December 13th, 2018, 07:27 PM  #3 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs 
You (or someone using the same username) posted these same questions on another site earlier today, showed your work, which I checked and found you were correct.

December 13th, 2018, 07:55 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,484 Thanks: 2041  Start by putting some letters on the diagram, so that you can make precise statements about it. Then write down what you can work out, even if it seems unnecessary or irrelevant. What formula do you know for calculating the area of a triangle? Is there a corresponding formula for the area of a sector of a circle? 
December 14th, 2018, 02:33 AM  #5 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,639 Thanks: 2624 Math Focus: Mainly analysis and algebra 
In each question there is a large fraction of a circle touching a triangle. You can find the area of both of these. For 15, you can also find the area of the entire circle from which you subtract the parts you don't need.

December 14th, 2018, 05:11 AM  #6 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,342 Thanks: 1024 
15: a = total area of circle calculate 3/4 of a add area of rightangle triangle HOKAY? 

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