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: Solve for w in the equation below.
A. w=rxy+z
B. w=(x/ry)+(z/r)
C. w=y(z+rx)
D. w=(x/ry)-(z/r)
Answer 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).
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Q #2: Which of the following is the best estimate of the number of centimeters (cm) in 2 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 175 cm
B. 180 cm
C. 136 cm
D. 90 cm
Answer Explanation
we convert the given value in yards to the cm by setting up the equation below.
2 yards is equal to 182.88 cm, which is approximately 180 cm.
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Q #3: Soft Drinks Orange Two 24-packs for $15; one 24-pack for $9 Root Beer One 24-pack for $14 Cream Soda One 12-pack for $3 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 2 two-24 packs of Orange and 1 pack of Cream Soda
B. 3 one 24-pack of Orange
C. 2 packs of Root Beer and 1 pack of Cream Soda
D. 5 packs of cream Soda
Answer Explanation
To find the cheapest option, we find the expenditure on each given option.:
2 two-24 packs of Orange and 1 pack of Cream Soda=2($15)+$3=$33
3 one 24-pack of Orange=3($9)=$27
2 packs of Root Beer and 1 pack of Cream Soda=2($14)+$3=$31
5 packs of cream Soda=5($3)=$15
Spending 5 packs of cream soda is the cost-effective option.
