A circle has an area of 64π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
A. 9 π in
B. 16 π in
C. 4 π in
D. 8 π in
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:
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: Simplify the expression below. Which of the following is correct? \(\frac{[3 (2 + 6 \ast 4)]}{(26 \div 2)}\)
A. 6
B. 8
C. 12
D. 9
Answer Explanation
We follow the order of operations to solve the given expression.
First, we start with the numerator and solve it as follows
[3(2+6*4)]
We start with multiplication in inner brackets, 6*4=24. The expression becomes
[3(2+24)]
Then, we conduct the addition of 2+24=26. Then, the expression becomes
[3(26)]=3*26=78
Now, we solve for denominator, which is 26/2=13.
Thus, the expression is reduced into
\(\frac{[3(2+6\ast4)]}{(26\div2)}=\frac{78}{13}=6\)
The expression reduces into 6.
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Q #2: To determine the cost of a meal, the restaurant considers the quantity of the meal, the number of toppings, and the types of spices. Which of the following is the dependent variable?
A. Size of meal
B. Cost of meals
C. Type of spices
D. Number of toppings
Answer 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.
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Q #3: Three friends are sharing a pizza. One friend eats half of the pizza. The other two friends equally divide the rest among themselves. What portion of the pizza did each of the other two friends receive?
A. 1/6
B. 1/3
C. ¼
D. 1/5
Answer Explanation
we need to find the portion of pizza shared by two other friends.
We know that a whole pizza represents 1 and one friend eats half of it. So, the remaining amount left to other two friends is
Remaining fraction of the pizza=1-1/2=1/2
Now, the two friends share ½ amongst themselves equally. Then, each friend gets
The two friends each gets 1/4 of the pizza.
