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
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Q #1: 2.50*0.25 Simplify the expression above. Which of the following is correct?
A. 0.0625
B. 6.025
C. 0.625
D. 6.25
Answer Explanation
To solve this equation, we use a calculator and find the product as:
2.50*0.25=0.625
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Q #2: Which of the following is the correct decimal placement for the product of 1.3 * 0.47?
A. 6.11
B. 0.611
C. 0.0611
D. 0.00611
Answer Explanation
in the given problem, we use the calculator to find 1.3*0.47=0.611
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Q #3: How many feet are in 6 yards?
A. 9ft
B. 18 ft
C. 36 ft
D. 2 ft
Answer Explanation
here we use the US customary system to convert between yards and feet. We use the conversion 1 yard =3 feet. Then, 6 yards to ft is found as
Thus, 6 yards is equal to 18 ft.
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Q #4: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 8 feet and a hypotenuse of 12 feet? (Round to the nearest tenth.)
A. 40 feet
B. 4 feet
C. 14.4 feet
D. 8.9 feet
Answer Explanation
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. We label the triangle from the given data as shown below
Let the unknown length be x.
Applying the Pythagoras theorem, the value of x is found as:
The unknown length of the triangle is approximately 8.9 feet.
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Q #5: Which of the following relationships represents a positive correlation between two variables?
A. As a student’s class attendance decreases, the student’s overall grade remains the same
B. As the number of hours a person exercises decreases, the weight of that person increases
C. As the number of miles driven increases, the amount of the gasoline in the tank decreases
D. As the amount of water plant receives increases, the growth rate of the plant increase.
Answer Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
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Q #6: As a person cycling increases speed, the rate of calories burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?
A. Energy
B. Calories
C. Speed
D. Distance
Answer Explanation
an independent variable is one that when changed, causes the other variable(s) to change. In our case, calories burned, distance traveled, energy used increase when cycling speed increases.
Therefore, speed is the independent variable while other variables are dependent.
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Q #7: Which of the following is the equivalence in pounds for 50 kg? (2.2 lb =1 kg)
A. 110 lb
B. 220 lb
C. 52.2 lb
D. 22.7 lb
Answer Explanation
We asked to convert kg to pounds. There are two ways of converting between kg and pounds
And
Since we are asked to find pounds, we use the second option for kg to cancel during conversion as follows:
Thus, 50 kg is equal to 110 lb.
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Q #8: A nurse earns $800.00 per week before any tax deductions. The following taxes are deducted each week: $83.00 federal income tax, $38.00 state income tax, and $79.00 Social Security tax. How much will the nurse make in 4 weeks after taxes are deducted?
A. $2,600.00
B. $3,000.00
C. $2,400.00
D. $2,800.00
Answer Explanation
we need to find the net income of the nurse in 4 weeks from the weekly net income.
Weekly net income=gross income-total tax
Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(83.00+38.00+79.00)
Total tax=$200.00
Weekly net income=$(800.00-200.00)=$600.00
In one week, the net income of the nurse is $600.00 and in 4 weeks the nurse will a net income of:
The nurse will earn $2,400.00 in 4 weeks after taxes are deducted.
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Q #9: 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. 12.325 mL
C. 7.43 mL
D. 0.507 mL
Answer Explanation
We need to find how many mL are in 2.5 teaspoons. We need to use dimensional analysis to solve this problem as follows.
Converting between teaspoon and mL uses the following conversions:
Or
We want to end up with mL, we utilize the second conversion and set up the following equation.
Thus, 2.5 teaspoons can hold 12.325 mL.
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Q #10: A student performs the following estimations. 24+190≈210 151+319≈470 974+1022≈1990 Based on these estimations, which of the following is the student’s estimate of 452+5017?
A. 5470
B. 5500
C. 5400
D. 5450
Answer Explanation
from the given estimations, we can find the actual addition of the numbers and see a trend the student utilizes to find their estimates. The exact sum is as follows
24+190=214
151+319=470
974+1022=1996
From the above evaluation, we can clearly see the students approximates the value in the ones values. So, in the problem we need to approximate 452+5017.
452+5017=5469
We can approximate 5469 based on the provided choices to 5470.
