A circle has an area of 81π
in2. Which of the following is the circumference of the circle in terms of pi ( π
)?
4.5 π in
14 π in
18 π in
9 π in
Correct Answer : C
we need to find the circumference of the circle from the given area.
The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

Now, we know the radius of circle to be 9 in, the circumference of the circle becomes,
in.
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Related Questions
Correct Answer is C
Explanation
The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows.

The value of x is found as:


The value of the unknown leg side of a triangle is about 9.8 feet.
Correct Answer is A
Explanation
A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change inbrand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
Correct Answer is A
Explanation
The number of boxes to fit the room is found as volume of the room divided by the volume of the box.
Number of boxes:
\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)
The approximate number of boxes that can be stored in the room is approximately 111 square feet.
Correct Answer is D
Explanation
notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk
. If we let the x be the number of cups of milk needed, then

As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.
Correct Answer is A
Explanation
we are tasked to find the number of cups of flour that will be used to make 90 cookies.
This is a proportion equation, and letting x be the number of cups of flour we set the equation as follows:

Solve the value of x by cross-products

Next, we convert the mixed fraction into improper fraction in order to carry out multiplication


The baker needs 15.75 cups of flour to make 120 cookies. 15.75 in mixed fraction is 
Correct Answer is D
Explanation
the mean of a data set is the sum of the scores divided by the number of tests.
Total test scores =99+93+67+ 48+ 92+ 87=486
Number of tests =6
Mean test score =486/6=81
The mean test score is 81.
Correct Answer is B
Explanation
By inspection, we find the corresponding values of the given denominations in the following manner.
Correct Answer is D
Explanation
To find the probability of an event, we use the following the formula

To find the probability of drawing the red ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=6+3+5=14 balls

The probability of drawing a red ball from the bag is 3/14.
Correct Answer is A
Explanation
we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.
Correct Answer is A
Explanation
To find the area of the largest circle that can fit entirely inside a rectangle measuring 8 cm by 10 cm, follow these steps:
Step 1: Determine the largest possible circle
- The largest circle that can fit inside the rectangle will have a diameter equal to the smaller side of the rectangle.
- The rectangle has dimensions 8 cm × 10 cm, so the largest possible diameter is 8 cm (since the circle must fit within the rectangle).
Step 2: Find the radius
The radius r is half of the diameter:
r=8/2=4cm
Step 3: Calculate the area of the circle
The area of a circle is given by the formula:
A=πr2 =16πcm2
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