Which of the following is the area of the largest circles that can fit entirely inside a rectangle that measures 8 centimeters by 10 centimeters?
A. 18π cm2
B. 10 π cm2
C. 16 π cm2
D. 8 π cm2
To find the area of the largest circle that fits in the rectangle, we need to determine the area of a circle with a diameter of 8 cm or less to fit on the rectangle with the given measurements as illustrated below.
Area of circle= πr2
Radius of circle, r=8cm/2=4cm
Then, area of the largest circle is:
Area of circle= π*4 cm *4 cm =16π cm2
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the best estimate in meters for the average width of a doorway?
A. 0.5
B. 1.0
C. 10.0
D. 3.0
Answer Explanation
Standard interior doors typically range from 0.7 to 0.9 meters in width and 2.0 to 2.1 meters in height. Thus, the average width of the doorway is about 1.0 m.
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Q #2: Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/5
B. 1/3
C. ¼
D. 1/6
Answer Explanation
We assume the pizza to be full representing 1. One friend eats ½ of 1=1/2
The remaining portion of the pizza=1-1/2=2/2-1/2=1/2
Three friends share equally ½ of the pizza=1/2÷3=12*13=1/6
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Q #3: A homeowner has hired two people to mow his lawn. If person A is able to mow the lawn in 2 hr by herself and person B is able to mow in lawn in 3 hr by himself. Which of the following is the amount of time it would take for both person A and B to mow the lawn together?
A. 5 hours
B. 2.5 hours
C. 1.2 hours
D. 1 hours
Answer Explanation
We know that the two people work on the same work but the time to complete the work differs. Thus, the rate of doing the work for each person is as follows:
Rate of work for person A = 1 /2 work per hr
Rate of work for person B=1/3 work per hour
If person A and B work together, the time of doing the same work will be less than the fastest person A. Thus, we combine the two rates of A and B
We have 1 work and time to complete by both A and B becomes
