David Lock

Say you cut the top of a circle off and drew a line underneath. Say this line was x long.

You then had a vertical line from the middle of the bottom line and it hit the top of the circle at a distance of say y.

So what is the radius of the circle please?

dl

Maz

iTrader: (34)

You're going to have to draw a picture.

wayne9t9

I think I need a picture for that one

JTaylor

Here you go, David.

http://www.mathopenref.com/arcradius.html

richiewong

Probably have use this in it somewhere no doubt;

David Lock

Mr Taylor, thank you.

Mr Wong, I'm trying the think what you can do with that pie

PS. So I can put a house name of front of my gate to match curved top of gate

david

boomer

mmmmmmmm, Hollands Meat Pies

Got a couple in my freezer now - just in case i get hungry

mb

RobsyUK

iTrader: (2)

So what's the answer

JTaylor

#4 has something called a link and that has been preceded by the words here, you, go and David to indicate that within said 'link' lies a resolution to the OP's enquiry. HTH.

SkullFudge

The radius is commonly half the diameter length

David Lock

Was that an A level question?

dl

speedking

Bored at lunch.

Proof of the link solution.

The shape described is a segment. Let x be the horizontal dimension of the segment and y the vertical.

A line from the centre to one end of the horizontal = r in length.
Half the horizontal = x/2.
A line from the centre to the x line has length r-y.

So by Pythagoras:

r² = (r-y)²+(x/2)²
r² = r²-2ry+y²+x²/4
cancel the r²
0 = -2ry+y²+x²/4
2ry = y²+x²/4
divide all by 2y
r = y/2+x²/8y