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
An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.
Correct Answer is D
Explanation
we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.
Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.
x 1 full tank=185 gallons23full tank
A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.
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 C
Explanation
We are asked to find the fraction of pizza the three friends shared equally.
First, the whole pizza is represented by 1. If one friend ate a quarter of the pizza, then:
First friend eats =1/4 of 1=1/4*1=1/4
Remaining fraction of the pizza=1-1/4=3/4
Now, the three friends share 3/4 amongst themselves equally. So, each friend gets
The three friends each gets 1/4 of the pizza.
Correct Answer is A
Explanation
We are tasked to find the unknown values of x in the given equation.
First, we add 8 to both sides of the equation.
Next, we apply the absolute rule:
If , a>0, then u=a or u=-a
From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes
Solving for x
The second condition (u= -a) becomes
Solving for x
Thus, the value of x is 4 or -3
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 B
Explanation
By inspection, we find the corresponding values of the given denominations in the following manner.
Correct Answer is D
Explanation
we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then
Length of rectangle=(x+2)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+2)*x
A=x(x+2)
Therefore, the area of the rectangle becomes x(x+2).
Correct Answer is C
Explanation
We required to find the units of finding the weight of a sheet of paper. The SI unit of mass of an object is kilogram. However, kilogram is a large quantity that cannot be used to measure smaller objects.
Thus, derived units of mass are used to find the mass of other objects. In this case, the mass of a sheet paper can be recorded in grams.
Correct Answer is A
Explanation
9/20 is the same as 9 divided by 20, which is evaluated 9÷20. The value becomes 0.45.
Thus, 9/20 is equal to 0.45.
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