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: -1/3, -0.6, -1.5, -7/3. Of the numbers listed above, which number is the greatest?
A. -0.6
B. -7/3
C. -1/3
D. -1.5
Answer Explanation
To find the greatest value, we need to have uniform numbers. That is, all numbers must be in fraction for easy comparison. Therefore, we convert -0.6, and -1.5 into fractions as follows. For purposes of easy computation, we do not simplify the resulting fractions.
-0.6=-6/10
-1.5=-15/10
Now, the resulting fractions are -1/3, -6/10, -15/10, and -7/3. The greatest value is found by finding the LCM of the denominators and multiplying with each fraction. The LCM of 3 and 10 is 30. Then,
-1/3*30=-10
-6/10*30=-18
-15/10*30=-45
-7/3*30=-70
Based on the obtained values, -10 is the greatest value and -70 the least value. Therefore, -1/3 is the greatest of all the four options.
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Q #2: Which of the following is the independent variable in the equation below? y(x)=7+8x
A. y
B. 7
C. x
D. 8
Answer Explanation
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Q #3: A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is green?
A. 5/12
B. ¼
C. ½
D. 1/3
Answer Explanation
The probability of an event is given by
To find the probability of drawing a green ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=5+4+3=12 balls
The probability of drawing a green ball from the bag is 5/12.
