A circle has an area of 144 in2. Which of the following is the circumference of the circle in terms of pi ( )?
A. \(18 \pi in\)
B. \(6 \pi in\)
C. \(12 \pi in\)
D. \(24 \pi in\)
We need to find the circumference of the circle.
Before finding the circumference of a circle, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, then the area of the circle is:
Substituting the value of area in the above equation
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle with the given area is 12 in, and the circumference of the circle becomes:
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the median of the date set below? 9, -4, 6, -1, 13
A. 9
B. 6
C. -1
D. -4
Answer Explanation
To find the median, we arrange the give dataset in ascending order -4, -1, 6, 9, 13 There are 5 five numbers in the dataset and median will fall in (frac{(5+1)}{2}) position, which is third position. The element in the third position is 6. Therefore, 6 is the median of the give set of data.
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Q #2: Which of the following is the best approximation of 15 times the positive square root of 33?
A. 78.5
B. 44.7
C. 156.2
D. 86.2
Answer Explanation
we use the calculator to determine the positive square root of 33, which is then multiplied by 15.
Using the calculator,
Multiplying the square root above with 15 becomes
The approximate value is 86.2.
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Q #3: Which of the following is the independent variable in the equation below? p(n)=2n+9
A. n
B. 9
C. p
D. 4
Answer Explanation
An independent variable is a variable that is manipulated or changed in the experiment. Based on the given equation, the variable n is the one changed to get the required output, p. Thus, n is the independent variable.
