# Radius of Semi Circle

by Thomas Michel
(Cresco, PA, USA)

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

 Sep 13, 2012 Semi Circle Radius by: Staff Answer: C = length of Chord = 1 7/8 inchesH = 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 inchesfinal answer: R = 2 53/448 inchesThanks 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

 Feb 27, 2020 Calculate "H" value NEW by: Anonymous How to calculate the "H" value of semi circle if chord is 2'-3".

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