My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
May 23rd, 2012, 09:16 PM   #1
Member
 
Joined: Jul 2009

Posts: 34
Thanks: 0

Area enclosed by a semi-circle and a quarter circle

Find the shaded area, which is enclosed by a square, semi-circle and a quarter of circle.

[attachment=0:1naeango]shaded area.JPG[/attachment:1naeango]
Attached Images
File Type: jpg shaded area.JPG (11.1 KB, 358 views)
yeoky is offline  
 
May 25th, 2012, 08:57 PM   #2
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,576
Thanks: 931

Math Focus: Elementary mathematics and beyond
Re: Area enclosed by a semi-circle and a quarter circle

Using degree measure for angles,

greg1313 is offline  
May 25th, 2012, 09:52 PM   #3
Member
 
Joined: Jul 2009

Posts: 34
Thanks: 0

Re: Area enclosed by a semi-circle and a quarter circle

Got it. Thanks.

How do you get cos-1(0.6) and cos-1(-06)?
yeoky is offline  
May 25th, 2012, 10:08 PM   #4
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,576
Thanks: 931

Math Focus: Elementary mathematics and beyond
Re: Area enclosed by a semi-circle and a quarter circle

Angle AGD has a cosine of 3/5 and angle GED has a cosine of -3/5. I found these values with the cosine rule.

1. Calculate the area of the kite ADEG and from that subtract the area of circular sector ADG.

2. Calculate the area of circular sector EDG and from that subtract the result of step 1 and that gives you the shaded area.
Attached Images
File Type: png circles.ggb.png (88.8 KB, 321 views)
greg1313 is offline  
May 3rd, 2014, 01:06 AM   #5
Newbie
 
Joined: May 2014
From: Dagupan

Posts: 1
Thanks: 0

whoa thanks. got the same problem too.
nelzekiel is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
area, circle, enclosed, quarter, semicircle


« sum | Parabolas »

Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
determine the area of a circle johnny993 Algebra 3 November 12th, 2013 06:20 AM
Circle segment area Pivskid Algebra 11 July 3rd, 2013 08:25 AM
Area of a Circle problem Jamers328 Calculus 5 August 6th, 2012 01:02 PM
Area of square with convex parts - area of circle gus Algebra 1 April 17th, 2011 04:25 PM
Area of a Sector of a Circle Julie Algebra 2 May 18th, 2009 11:41 AM





Copyright © 2017 My Math Forum. All rights reserved.