logo for solving-math-problems.com
leftimage for solving-math-problems.com

Radius of Semi Circle

by Thomas Michel
(Cresco, PA, USA)

Semi Circle

Semi Circle










































Calculate Radius of Semi Circle

   • Given:

           length of chord

           height of arc above chord


What is the radius of this semi circle?

THANK YOU

Comments for Radius of Semi Circle

Click here to add your own comments

Sep 13, 2012
Semi Circle Radius
by: Staff

Answer:


Radius from Circle from Arc and Chord



C = length of Chord = 1 7/8 inches

H = distance from Chord to center of arc = 7/32 inches
(H = 9/32 - 1/16 = 9/32 - 2/32 = 7/32)


R = ( ¼ * C² + H²)/2H


         R = ( ¼ * (1 7/8)² + (7/32)²)/(2*7/32)

         R = ( ¼ * (15/8)² + (7/32)²)/(14/32)

         R = ( ¼ * (225/64) + (49/1024))/(14/32)

         R = ( ¼ * (225/64) + (49/1024)) * (32/14)

         R = ¼ * (225/64) * (32/14) + (49/1024) * (32/14)

         R = (225*8)/(64*14) + (49*32)/(1024*14)

         R = (16/16)*(225*8)/(64*14) + (49*32)/(1024*14)

         R = (16*225*8) /(14336) + (49*32)/(14336)

         R = [(16*225*8) + (49*32)] /(14336)

         R = [(28800) + (1568)] /(14336)

         R = 30368 / 14336

         R = 949/448

         R = 2 53/448 inches

         or

         R = 2.1183035714286 inches


final answer: R = 2 53/448 inches





Thanks for writing.

Staff
www.solving-math-problems.com



Sep 14, 2012
Responce
by: Thomas Michel

Staff,
Your Genius. I've posted this and you can follow me on Facebook.
Thank you
Thomas Michel
www.facebook.com/MortalCalls

Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com