A circle has an area of 49π in2. Which of the following is the circumference of the circle in terms of pi (π)?
14 π in
28 π in
7 π in
3.5 π in
Correct Answer : A
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
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Related Questions
Correct Answer is A
Explanation
The initial step is to convert the decimal numbers into fractions.
4.4 becomes 44/10
4.25 becomes 425/100
Thus, the set of fractions is 9/2, 44/10, 10/3, 425/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.
9/2*300=1350
44/10*300=1320
10/3*300=1000
425/100*300=1275
From the above, 1350 is the greatest value which corresponds to 9/2. Thus, 9/2 is the greatest value of all the choices given.
Correct Answer is D
Explanation
we need to form a mathematical expression from the given word problem.
Let the number be x.
Twice a number=2x
Five less than twice a number=2x-5
So the mathematical express from the word problem is 2x-5
Correct Answer is C
Explanation
To simplify the expression:
12+3×4−1+23
Step 1: Follow the order of operations (BODMAS)
Multiplication first:
3×4=12
23 = 2×2×2=8
Now the expression becomes:
12+12−1+8
Step 2: Perform addition and subtraction from left to right
- 12+12=24
- 24−1=23
- 23+8=31
The correct answer is 31.
Correct Answer is C
Explanation
to convert fraction to percent, we multiply the fraction with 100. Therefore, the percent equivalent of 5/8 is

Thus, 5/8 is equal to 62.5%.
Correct Answer is C
Explanation
To find the true statement we need to analyze the given statements.
For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
For statement 2: the lowest points scored per game was in 1998-99 season. So, the statement is false.
For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is true.
Correct Answer is C
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.
Correct Answer is A
Explanation
we are needed to find the amount Lana is left with after spending and investing the rest using the given information.
Amount Lana spends = 80% of $60= 80/100 *60 = $48
Amount left to invest = $(60-48) = $12
Lana is left with $12, which she invests and earns a profit of 80%.
Profit earned = 80% of $12 = 80/100 * 12= $9.20
So, Lana will have $12 + $9.20 = $21.60
Correct Answer is B
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.
Correct Answer is B
Explanation
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected. The second options shows that the child collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters.

Correct Answer is C
Explanation
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered.
Total distance=4+4=8 miles
Total time=28+32 =60 minutes
From the above, the athlete runs 8 miles in 60 minutes, so the athlete will take how minutes to cover 1 mile.

So, the athlete covers 1 mile in 7.5 minutes.
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