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aivan3 [116]
3 years ago
12

The number of square units in the area of circle O is equal to 16 times the number of units in its circumference Which of the fo

llowing are diameters of circles that could fit completely inside circle 0? Indicate all such diameters □
A. 25
B. 36
C. 42
D. 48
E. 54
F. 66
G. 70
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0

Answer:

A,B,C,D,E

Step-by-step explanation:

the relationship given between the area and circumference is:

\text{Area} = 16 \times \text{Circumference}

Using the formulas for area and circumference of the circle

\pi r^2 = 16(2\pi r)

solving:

r^2 = 32r

r = 32\,\text{units}

convert this into diameter

2r = d = 2(32)\,\text{units}

d = 64\,\text{units}: Diameter of circle O

Now, the question is asking us to select all such diameters that can fit completely inside this circle O

So, all we need to do is just select all circles that have a diameter less than 64 units. All such circles that have a diameter less than 64 units will completely fit inside the circle O.

Hence, the circles that fit inside circle O are: A,B,C,D,E

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