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A circle has an area of 144 in2. Which of the following is the circumference of the circle in terms of pi ( )?

A. \(18 \pi in\)

B. \(6 \pi in\)

C. \(12 \pi in\)

D. \(24 \pi in\)

Answer Explanation:

We need to find the circumference of the circle.

Before finding the circumference of a circle, we need to find the radius of the circle from the given area.

Let r be the radius of the circle, then the area of the circle is:

Substituting the value of area in the above equation

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle with the given area is 12 in, and the circumference of the circle becomes:

Therefore, the Correct Answer is D.

Q #1: A teacher has marked all math final exam for first years. He needs to track the performance of his subject. Which of the following is the best way to display the frequency for test scores of the final exams?

A. Histogram

B. Pie graph

C. Scatter plot

D. Bar graph

Answer Explanation
Q #2: Which of the following is the independent variable in the equation below? y(x)=7+8x

A. y

B. 7

C. x

D. 8

Answer Explanation
Q #3: There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the Radiologic Technology program?

A. 162

B. 171

C. 378

D. 189

Answer Explanation

We use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.

If we let x represent the number of students enrolled in the Radiologic Technology program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.

\(\frac{x}{21\%}\ =\ \frac{900}{100\%} \)

Find the value of x by cross-products

\(x\ *\ 100\%\ =\ 900\ students * 21\%\)

Divide both sides of the equation by 100%

\(x= \frac{900\ students\ *\ 21\%}{100\%}\ =\ 189\ students\)

Thus, 189 students out of 900 students will enroll for a respiratory care program.

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