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: Simplify the expression above. Which of the following is correct?
A. 33
B. 44
C. 25
D. 12
Answer Explanation
Let's simplify the expression step by step:
Step 1: Inside the square brackets, perform the operation within parentheses first:
([4(3+6?5)]=[4(3+30)] )
Step 2: Continue simplifying inside the square brackets:
([4(3+30)]=[4ast33])
Step 3: Calculate the value inside the square brackets:
([4ast33]=132)
Step 4: Now, deal with the denominator:
((20÷5)=4)
Step 5: Finally, divide the result from step 3 by the result from step 4:
(132/4=33)
So, the simplified expression is 33.
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Q #2: Which of the following is the decimal form of 235.8%?
A. 2358
B. 23.48
C. 0.2358
D. 2.358
Answer Explanation
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Q #3: Soft Drinks Orange Two 24-packs for $20; one 24-pack for $15 Root Beer One 24-pack for $18 Cream Soda One 12-pack for $10 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 2 packs of Orange and 1 pack of Cream Soda
B. 3 packs of Orange
C. 2 packs of Root Beer and 1 pack of Cream Soda
D. 5 packs of cream Soda
Answer Explanation
To find the cheapest option, we find the amount the consume will spend for each option given.:
2 packs of Orange and 1 pack of Cream Soda will cost $20 + $10 = $30
3 Packs of Orange will cost $20+$15=$35
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($18)+$10= $46
5 packs of cream Soda will cost 5($10)=$50
From the above evaluation, the cheapest option will cost the consumer $30.
Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
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Q #4: How many milliliters are there in 2.5 liters?
A. 25000
B. 25
C. 250
D. 2500
Answer Explanation
we use the relation 1 L=1000 mL to convert 0.5 L to mL as follows.
So, 2.5L is 2500 mL.
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Q #5: Which of the following is the mean of the test scores listed below? 90, 87, 74, 84, 93, 78
A. 87
B. 78
C. 90
D. 84
Answer Explanation
The mean of a data set is the total scores divided by the number of tests.
Total test scores =90+87+74+ 84+93+76=504
Number of tests =6 Mean test score =506/6=84
The mean test score is 84
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Q #6: Three friends are sharing a pizza. One friend eats three-quarters of the pizza. The other two friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/6
B. 3/4
C. 2/3
D. 1/5
Answer Explanation
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Q #7: Which of the following is an appropriate unit of measure to express the length of a book?
A. Decameters
B. Kilometers
C. Centimeters
D. Meters
Answer Explanation
Explanation: centimeters is the appropriate unit to measure the length of a book.
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Q #8: -1/6, -0.7, -1.8, -7/6 Of the number listed above, which number is the greatest?
A. -1/6
B. -0.7
C. -7/6
D. -1.8
Answer Explanation
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Q #9: Which of the following is the decimal equivalent of 3/8?
A. 375
B. 3.75
C. 37.5
D. 0.375
Answer Explanation
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Q #10: Which of the following is the total number of whole boxes that measure 0.4 ft * 0.4 ft * 0.4 ft that can be stored in a room that measures 8 ft * 8 ft * 8 ft, if the size of the boxes cannot be altered?
A. 4000
B. 800
C. 400
D. 8,000
Answer Explanation
