Question #a078d
2 Answers
see explanation
Explanation:
A: circumference formula:
therefore,
so, for circle A, you get:
for circle B, you get:
B: area formula:
therefore,
for circle A, you get:
for circle B, you get:
C: You observe that the value of pi is the same in all cases. The value of pi is a CONSTANT.
GOOD LUCK
Explanation:
a)
We need to find a value of
For Circle A:
For Circle B:
b)
We aren't given the radius of the circle in each case, but the diameter is double the radius,
Substituting into our area formula we get:
Rearranging for
For circle A:
For circle B:
And no prizes for guessing that this evaluates to:
So what do we notice?
This is going to go into more detail than you need for your homework, although you may wish to read it; I personally find this stuff quite interesting.
Look at our answers.
In fact,
No wonder we often round it to
This decimal will repeat. So too will any fraction you can come up with.
Both of these mean we can never actually describe pi accurately as a decimal. In fact, if we wanted to be accurate, we would leave the answers in terms on