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: Which of the following statements is true about the graph?
A. The Chargers points per game decreased between seasons eight times between 1996 and 2015
B. The Chargers scored their lowest number of points per game in 1999-2000 season
C. The Chargers scored their greatest number of points per game in the 2008-09 season
D. None of the above
Answer Explanation
To find the true statement we need to analyze the given statements.
For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
For statement 2: the lowest points scored per game was in 1998-99 season. So, the statement is false.
For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is true.
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Q #2: A farmer grows apple, orange, lemon, banana, and pear trees. The number of trees planted this year is shown in table above. Which of the following would best display the data? Tree type Apple Orange Lemon Banana Pear Number of trees 20 10 12 25 21
A. Bar graph
B. Stem and leaf plot
C. Line graph
D. Scatter plot
Answer Explanation
Based on the above data, the horizontal axis will be tree type and vertical axis will represent the number of trees.
Based on these, a bar graph is appropriate to represent the number trees.
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Q #3: How may milliliters are there in 0.5 liters?
A. 500
B. 50
C. 5
D. 5000
Answer Explanation
We use 1 L =1000 mL to convert between the two units. The conversion fractions of interconverting are:
And
Since we want to end up with millimeters, the second conversion is used in converting L to mL as:
Thus, 0.5 L is equivalent to 500 mL.
