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
-
Q #1: 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
Answer 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
-
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.
-
Q #3: The graph below represents the amount of rainfall in a particular state by month. Which of the following is the total rainfall for the first 3 months of the year?
A. 4 inches
B. 5 inches
C. 4.5 inches
D. 3.5 inches
Answer Explanation
The first three months of the year are January, February, and March. We need to find the total rainfall for these three months from the provided graph.
In the month of January, rainfall is between o and 1, which is halfway. Therefore, rainfall in January is 0.5 inches
On February, rainfall was 1 inch and on March the rainfall was 2 inches. Thus,
Total rainfall = 0.5 inches + 1 inches + 2 inches = 3.5 inches
