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: There are 800 students enrolled in four allied health programs at a local community college. The percentage of students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?
A. 336
B. 152
C. 144
D. 168
Answer Explanation
100% represents total students four allied health program. Thus, 100%=800 students, and 19% joins respiratory care program is
Thus, 152 students joined the respiratory care program.
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Q #2: 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
Answer Explanation
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
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Q #3: The table shows healthcare spending per capita in a group of African nations. Based on this information, which of the following countries had the greatest change in dollars spent per capita from 2013 to 2015?
A. Eritrea
B. Sudan
C. Tanzania
D. Kenya
Answer Explanation
To find a solution to this, we need to find the change in spending between the year 2013 and 2015 for each country. Change is difference in amount spent in 2015 and 2013 for each country:
Sudan=$(24-17)= $7
Eritrea=$(42-56)= - $14
Nigeria = $(21-16)= $5
Tanzania =$(81-68) = $13
Rwanda = $(24-27) =-$3
Kenya = $(88-81) = $8
A Minus sign means a decrease in spending. From the above calculations, Eritrea had the GREATEST change in dollars spent while Rwanda had the LEAST change in dollars spent.
