A circle has an area of 81π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
A. 4.5 π in
B. 14 π in
C. 18 π in
D. 9 π in
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.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 1.5 feet above the sidewalk?
A. 22 feet
B. 19.5 feet
C. 32.5 feet
D. 18 feet
Answer Explanation
The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,
The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.
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Q #2: A bucket containing 3 3/5 gallons of water is 2/3 full. How many gallons of water is in one fully filled bucket?
A. 13/15
B. 6 7/15
C. 8 2/5
D. 5 2/5
Answer 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.
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Q #3: Which of the following is the decimal form of 67.9%?
A. 67.9
B. 6,790
C. 0.679
D. 8.75
Answer Explanation
percentages are fractions with denominator equal to 100. Then, in decimal form:
The decimal form of 67.9% is 0.679.
