A circle has an area of 49π in2. Which of the following is the circumference of the circle in terms of pi (π)?
A. 14 π in
B. 28 π in
C. 7 π in
D. 3.5 π in
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 
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: The scatter plot below shows the relationship between the number of hours a student listens to music and the student’s test scores. Which of the following types of correlation is shown on the scatter plot?
A. Positive
B. Positive and negative
C. No correlation
D. Negative
Answer Explanation
scatter plots can of three types: positive, negative and no correlation. A positive correlation scatter plot shows that as one variable increase, the other variable increases. A positive correlation can be visually depicted below.
In a negative correlation, the change in one variable is inversely proportional to another variable. That is, as one variable increases, the other variable decreases as shown below.
The third type of scatter plot is a no-correlation scatter plot. In this type of plot, there is no defined relationship between one variable and another one as in the curve below.
If we look at the relationship between the time the student listens to music and his test score, it is evident that no relationship exists between the two variables. Thus, this is a type of no correlation scatter plot.
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Q #2: Which of the following percentages is equivalent to the fraction below? 5/8
A. 1.6%
B. 6.25%
C. 62.5%
D. 160%
Answer Explanation
to convert fraction to percent, we multiply the fraction with 100. Therefore, the percent equivalent of 5/8 is
Thus, 5/8 is equal to 62.5%.
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Q #3: A class of 28 students has 13 boys and 15 girls. What is ratio of girls to boys in the class?
A. 15:28
B. 13:15
C. 13:28
D. 15:13
Answer Explanation
a ratio can be converted to a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
From the given information, the class has 15 girls and 13 boys. Thus, the ratio of girls to boys becomes:
In ratio form, girls: boys=15:13
Thus, the ratio of girls to boys in a class of 28 students is 15 to 13.
