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A circle has an area of 169 π in2. Which of the following is the circumference of the circle in terms of pi ( )?

A. 13 π in

B. 26 π in

C. 7.5 π in

D. 20 π in

Answer Explanation:

We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then

Substituting 169π in place of area

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

The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:

Therefore, the Correct Answer is B.

Q #1: The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A=w+(w+5)

B. A=2w+2(w+5)

C. A=5(w+8)

D. A=w(w+5)

Answer Explanation

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then

Width of the rectangle= w

Length of rectangle=(w+5)

Area of the rectangle, A= Length*width=(w+5)*w

A=w(w+5)

Thus, the area of the rectangular room is w(w+5).
Q #2: Which of the following is the decimal equivalent of 15/27? (Round your answer to 2 decimal places).

A. 0.56

B. 5.56

C. 3.86

D. 0.36

Answer Explanation

Using a calculator to evaluate 15÷27 results in 0.5555555556. To two decimal places, the answer becomes 0.56.

Thus, 0.56 is the decimal equivalent of 15/27.
Q #3: Solve for A in the equation below. Diagram:

A. A = t(kr+P)

B. A = (kr+P)/t

C. A = P-kr/t

D. A = kr-t/P

Answer Explanation

P-At=-kr

Subtract P on both sides

P-P-At=-kr-P

-At=-kr-P

Divide both sides by -t

-At/-t=(-kr-P)/-t

A=(kr+P)/t

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