One circle has a diameter of 6 inches. A larger circle has a diameter that is 4 times the diameter of the circle. what is the ra tio of the area of the smaller circle to the larger circle? A. 2:3
B. 1:6.4
C. 1:16
D 1:64
1 answer:
Answer:
C, 1 : 16
Step-by-step explanation:
Small Circle
The radius is half of the diameter. 3 inches.
π×r²=A
We'll use 3.14 for pi.
3.14×9
28.26 in²
Bigger Circle
6×4= 24
So the diameter is 24. The radius is 12.
3.14×12²
3.14×144
452.16 in²
Let's divide.
452.16÷ 28.26
= 16
Therefore, the answer is C, 1 : 16.
Hope this helps, please mark brainliest if possible :)
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