A circle has an area of 49 in2. Which of the following is the circumference of the circle in terms of pi ( )?
A. 7 π in
B. 14 π in
C. 28 π in
D. 3.5 π in
We need to find the circumference of the circle from the given area.
To find the circumference, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, and the area of the circle is given by
Substituting the value of area in the above equation becomes
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle is 7 in. and the circumference of the circle is given by the relation:
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
-
Q #1: Which of the following is the decimal equivalent of 7/25?
A. 0.28
B. 3.4
C. 3.57
D. 0.18
Answer Explanation
7/25 is the same as 7÷
25. The value becomes 0.28.Thus, 0.28 is the decimal equivalent of 7/25.
-
Q #2: Which of the following is the median of the date set below? 5, -3, 10, -2, 0
A. 5
B. 2
C. 10
D. 0
Answer Explanation
To find the median, we arrange the following numbers in data set from the smallest to the largest as follows.
-3, -2, 0, 5, 10
From the above the data set, the median falls in the third position. Thus, 0 is the median for the given data set.
-
Q #3: Which of the following is the mean of the test scores listed below? 100, 78, 47, 84, 93, 78
A. 80
B. 78
C. 96
D. 87
Answer Explanation
The mean of a data set is the total scores divided by the number of tests.
Total test scores =100+78+47+84+93+78=480
Number of tests =6
Mean test score =480/6=80
The mean test score is 80.
-
Q #4: Which of the following values is the greatest?
A. 9/2
B. 4.25
C. 10/3
D. 4.4
Answer Explanation
To find the greatest number from the given options, we first convert the decimal numbers into fractions.
4.25 becomes 425/100
4.4 becomes 44/10
Then, we find the LCM for the denominators of the given fractions. The LCM of 2, 100, 3 and 10 is 300. Now we can multiply each fraction with the LCM.
9/2*300=1350
425/100*300=1275
10/3*300=1000
44/10*300=1320
Comparing the obtained values from above, 1350 is the greatest followed by 1320, 12750, and 1000 in that order. The fraction 9/2 gave a value of 1350, which was the greatest value. Thus, 9/2 is the greatest value from the given option.
You can also convert to decimals and compare which would give you the same answer.
-
Q #5: Simplify the expression above. Which of the following is correct?
A. 6
B. 8
C. 1
D. 12
Answer Explanation
We follow the order of operations to solve the given expression.
First, we start with the numerator and solve it as follows
[2(3+5*3)]
We start with multiplication in inner brackets, 5*3=15. The expression becomes
[2(3+15)]
Then, we conduct the addition of 3+15=18. Then, the expression yields
[2(18)]=2*18=36
Now, we solve for denominator, which is 12/2=6.
Thus, the expression is reduced into
The expression reduces into 6.
-
Q #6: Which of the following is the equivalence in pounds for 50 kg? (2.2 lb=1 kg)
A. 52.2 lb
B. 22.7 lb
C. 110 lb
D. 220 lb
Answer Explanation
We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.
We find the value of x by cross-multiplication
The value of x is 110 lb.
-
Q #7: To determine the cost of a pizza, the pizza parlor considers the diameter of the pizza, the number of toppings, and the amount of cheese. Which of the following is the dependent variable?
A. Amount of pizza
B. Dimeter of the pizza
C. Cost of the pizza
D. Number of toppings
Answer Explanation
We are asked to find the dependent variable from the given scenario. A dependent variable is one which varies with another variable. In this case, the cost of the pizza will change with the change in diameter of the pizza, number of toppings, and amount of cheese. In other words, the cost of the pizza depends on the three variables.
Therefore, cost is the dependent variable while the diameter of the pizza, number of toppings and amount of cheese are independent variables.
-
Q #8: A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 5.33 mL
B. 0.507 mL
C. 7.43 mL
D. 12.325 mL
Answer Explanation
We let x represent the amount of vanilla in mL, since this is what the question is asking us to find.
Next, we will set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.
Cross-multiply to find the value of x
A recipe of 2.5 teaspoons equals 12.325 mL.
-
Q #9: Soft Drinks Orange: Two 24-packs for $18; one 24-pack for $10 Root Beer: One 24-pack for $12 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 50 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 cost-effective option, we need to find how much the consumer will spend for the given options:
2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23
3 Packs of Orange will cost $18+$10=$28
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29
5 packs of cream Soda will cost 5($5)=$25
From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
-
Q #10: The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A = 5x
B. A = 2x+2(x+5)
C. A = x(x+5)
D. A = x+(x+5)
Answer Explanation
We need to find the are of the rectangle from the given case. Letting x represent the width of the rectangle. Then, we can find the area of the rectangle as follows.
Length of rectangle=(x+5)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+5)*x
A=x(x+5)
Thus, the area of the rectangle is x(x+5).
