A circle has an area of 64π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
9 π in
16 π in
4 π in
8 π in
Correct Answer : B
we need determine the radius of the circle before we can find the circumference of the circle from the given area.
Let r be the radius of the circle, then
Substituting the value of area
Dividing both sides by pi and taking square root on both sides yields
Now, the radius of the circle is 8 in. and the circumference of the circle is given by the relation:
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Related Questions
Correct Answer is D
Explanation
To find the required number of cups milk needed, we set a proportion equation with number of cups be numerator and cups of milk as denominator.
Let x be the number of cups of milk needed, then
The numbers of cups of milk required is 273/25, which when converted to mixed fraction becomes 10 23/25.
Correct Answer is C
Explanation
We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.
We find the value of x by cross-multiplication
The value of x is 110 lb.
Correct Answer is D
Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.25 becomes 625/100
7.4 becomes 74/10
The LCM for the denominators of 8, 100, 7, and 10 is 2800. Now we can multiply each fraction with the LCM.
3/8*2800=1050
625/100*2800=17500
10/7*2800=4000
74/10*2800=20720
The fraction 7.4is the greatest of all.
Correct Answer is C
Explanation
The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.
Correct Answer is C
Explanation
A standard six-sided die has the numbers 1, 2, 3, 4, 5, and 6. The even numbers are 2, 4, and 6.
Step 1: Probability of rolling an even number on the first roll
There are 3 even numbers out of 6 total numbers, so:
P (evenonsecondroll) = 3/6 = ½
Step 2: Probability of rolling an even number on the second roll
Since rolling the die is an independent event, the probability remains:
P (evenonsecondroll) = 3/6 = ½
Step 3: Multiply the probabilities
P (evenonfirstANDevenonsecond) = ½ × ½ = ¼
Correct Answer is A
Explanation
To find the minimum length requires, we need to understand what slope in the question represents. The slope represents the ratio between the height to the length. Let x be the minimum length of the ramp. Then,
Now, we find the value of x by cross-products as follows
Thus, the minimum length required to provide access is 60 feet.
Correct Answer is B
Explanation
A dependent variable changes with any change made in an independent variable. From this case, cost of meals depends on other three options. In other words, the quantity of meal, number of toppings, and types of spices influence the cost of the meal.
Correct Answer is A
Explanation
we are asked to find the number of cups of flour that will be used to make 130 cookies.
First, we convert 3 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
Dividing both sides by 64, the above equation result to
Thus, the number of cups of flour needed to make 130 cookies is 845/128 cups, which is equal to 6 77/128 cups.
Correct Answer is D
Explanation
We are asked to make w the subject of the formula.
First, we rearrange the equation by to ensure w is on the right hand of the equation.
Then, divide both sides by r
Multiply both sides by y
The above equation can be rearranged into
Thus, the formula for finding the value of w is (x/ry)-(z/r).
Correct Answer is D
Explanation
The circumference of a circle is given by the formula:
C=πd
where:
- d=16 inches
- π=3.14
Calculate the Circumference:
C=3.14×16 =50.24inches
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