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: A bucket containing 5 2/5 gallons of water is 2/7 full. How many gallons of water is in one fully filled bucket?
A. 14/15
B. 2 7/15
C. 8 4/5
D. 18 9/10
Answer Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows
If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Cross-multiply to find the value of x.
Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
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Q #2: 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.
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Q #3: -2/9, -0.9, -1.7, -4/7 Of the number listed above, which number is the greatest?
A. -0.9
B. -4/7
C. -1.7
D. -2/9
Answer Explanation
The initial step is to convert the decimal options to fractions. Then, we find the LCM of the denominators of all fractions, which will be used to compare the values of the given options.
-0. becomes -9/10
-1.7 becomes -17/10
Then, the resulting denominators are 9, 10, and 63. Their LCM of 630 is used to multiply each fraction.
-2/9*630=-140
-9/10*630=-567
-17/10*630=-1071
-4/7*630=-360
From the calculations above, -140 is the greatest value of all the values. Thus, -2/9 is the greatest number.
