you didn't specify what "one" meant... I thought extra credit, since that was the last thing mentionned...
Sorry, have to hit the kitchen...
OK: go the extra mile: how much does the radius of one circle have to be bigger than that of another circle so that the perimeter will increase by 1 mile?
Last edited by ChanieMommy on Fri, Sep 18 2020, 10:17 am; edited 1 time in total
you didn't specify what "one" meant... I thought extra credit, since that was the last thing mentionned...
Sorry, have to hit the kitchen...
OK: go the extra mile: how much does the radius of one circle have to be bigger than that of another circle so that the perimeter will increase by 1 mile?
you didn't specify what "one" meant... I thought extra credit, since that was the last thing mentionned...
Sorry, have to hit the kitchen...
OK: go the extra mile: how much does the radius of one circle have to be bigger than that of another circle so that the perimeter will increase by 1 mile?
Hidden:
Half a mile? Sounds too simple, I’m afraid I missed something
What's astonishing is that no matter whether you have a circle as big as the equator or as small as a penny, if the radius changes an amount a, the perimeter changes an amount b, which only depends on a and not on r...
This is because, if you have a circle with perimeter p and radius r:
Hidden:
p = 2pi r
If you increase the radius by a, the perimeter increases by b:
p+b = 2pi r +2 pi a
b= 2pi a
a = b/2pi
What's astonishing is that no matter whether you have a circle as big as the equator or as small as a penny, if the radius changes an amount a, the perimeter changes an amount b, which only depends on a and not on r...
This is because, if you have a circle with perimeter p and radius r:
Hidden:
p = 2pi r
If you increase the radius by a, the perimeter increases by b:
p+b = 2pi r +2 pi a
b= 2pi a
a = b/2pi
If b = 1mile
a = 1/2pi
a= app. 0,159 miles
And good morning to you! Gmar chasima tova! You sound nice and chirpy but I’m after a looooooong day so I’m not following perfectly. In layman’s terms was I right or wrong?
And good morning to you! Gmar chasima tova! You sound nice and chirpy but I’m after a looooooong day so I’m not following perfectly. In layman’s terms was I right or wrong?
