Homework Help: Geometry

Posted by Temperance on Monday, June 14, 2010 at 1:05am.

What is the radius if:
degree of measurement of arc=30
length=1/3xy(pi)
My answer was 8xy.

degree of measurement of arc=40
length=8/9(t)(pi)
My answer was 9t.

degree of measurement of arc=18
length=6(y)pi
My answer was 45y.

These are the questions I missed, along with my answers. I would be grateful if someone could explain what I did wrong and work out the problem, so that I may understand it fully. Cheers!

Geometry - Reiny, Monday, June 14, 2010 at 6:52am
These questions use the same formula
arc = rŲ as we saw in the third part of your previous post.
I will do the first one:

r = ?
Ų = 40(π/180) = 2π/9 radians
arc = (8/9)tπ

r(2π/9) = (8/9)tπ
r = 4t

do the others the same way

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