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 D
Explanation
In this case, we use a calculator to estimate the positive square root of 42.
Then, multiplying the square root above with 6 becomes
Then, the approximate value of 6 time the positive square root of 42 is 38.9.
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 B
Explanation
The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.
-6, -4, 1, 8, 12
There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.
Correct Answer is D
Explanation
To simplify this expression, we follow the order of operations as follows:
First, we start with the numerator and solve it as follows
[2(6+3*9)]
We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes
[2(6+27)]
Then, we carry out the addition of 6+27=33. Then, the expression yields
[2(33)]=2*33=66
Now, we solve for denominator, which is 6/2=3.
Thus, the expression is reduced into
The expression reduces into 22.
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 C
Explanation
we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.
The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.
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 B
Explanation
we need to find the price of the stock on Thursday.
First, find the price changes in each day of the week as follows:
Monday’s price was $45.32
Tuesday’s price went up by $3.25 from Monday’s price. The price was $(45.32+3.25)=$48.57
Wednesday’s price decreased by $1.73 from Tuesday’s price, and so the price of the stock was $(48.57-1.73)=$46.84
Thursday’s price increased by $0.89 from Wednesday’s price, which was $(46.84+0.89)=$47.73
Therefore, the stock price on Thursday was $47.73.
Correct Answer is D
Explanation
The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,
The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.
Correct Answer is A
Explanation
we are asked to find the percent change in weight gain of a person.
First, we need to find the change in weight gained over the 4 months
Change in weight= 186-176=10 lb
The percent change is expressed as change in weight over original weight *100. Then
The percent change in weight is 6% to the nearest whole number.
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