Answer:
where
denote arc lengths of two circles
Step-by-step explanation:
Let
denote arc lengths of two circles,
denote corresponding radii and
denote the corresponding central angles.
So,
and 
This implies
and 
As each circle has an arc where the measures of the corresponding central angles are the same, 

As radius of one circle is twice the radius of the other circle,


It is helpful to estimate quotients when the number is very big.
The answers for one, two, and three are:
False
True
True
Answer:
Since the null hypothesis is true, finding the significance is a type I error.
The probability of the year I error = level of significance = 0.05.
so, the number of tests that will be incorrectly found significant is computed as follow: 0.05 * 100 = 5
Therefore, 5 tests will be incorrectly found significant given that the null hypothesis is true.