How to measure area of a segment of a circle

karambos · Post by **karambos** » Fri Sep 26, 2003 1:09 am

Hi all,

I've got a question about maths i.e. how to measure the area of a wall so you can tell the guy you're buying from how much Illsonic you actually need.

I've included a picture of the wall between my control room and the recording cabin. The recording cabin has an arched ceiling. I'm trying to work out the area shaded in grey. The figures are just rough figures.

Essentially, I've got a segment of a circle which I need to calculate but I don't have the radius.

I'm grateful for any help.

Thx

Karambos

dbluefield · Post by **dbluefield** » Fri Sep 26, 2003 6:09 am

Maybe this is close enough for government work

dbluefield · Post by **dbluefield** » Fri Sep 26, 2003 6:12 am

Actually I guess its:

300cm x 27.5 = 8250 minus the roughed in right triangles

subatom · Post by **subatom** » Sat Sep 27, 2003 10:16 am

if that is truely exparabolic (kind of like you've drawn), then the area

A=2/3 *a*b,

where a=27.5cm is its height and b=300cm is the width.

A=5500 cm2

if it has a constant radius (as you say, "segment of a circle"),

then, (i listed a closed poly in autocad)

A=5536.8 cm2

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