A circle has an area of 49π in2. Which of the following is the circumference of the circle in terms of pi (π)?
14 π in
28 π in
7 π in
3.5 π in
Correct Answer : A
The initial step is to establish the relationship between area of a circle and the radius. The area of the circle is given by the formula
Now, substituting the 49 π in2 in place of A in the equation above becomes:
We want to find r, therefore, we rearrange the equation as
Divide both sides by
Take square root both sides of the equation
The radius of the circle is 7 in, and the circumference of the circle is determined as follows
Substituting the value of r=7 becomes
Thus, the circumference of a circle whose area is 49 in2 is 14
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Explanation
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Explanation
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Correct Answer is C
Explanation
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Explanation
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For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
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Explanation
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Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
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Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Correct Answer is A
Explanation
The initial step is to establish the relationship between area of a circle and the radius. The area of the circle is given by the formula
Now, substituting the 49 π in2 in place of A in the equation above becomes:
We want to find r, therefore, we rearrange the equation as
Divide both sides by
Take square root both sides of the equation
The radius of the circle is 7 in, and the circumference of the circle is determined as follows
Substituting the value of r=7 becomes
Thus, the circumference of a circle whose area is 49 in2 is 14
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