The circumference of two circles are 12\pi and 36\pi. Find

tumahimikgjr 2022-03-03 Answered
The circumference of two circles are 12π and 36π. Find the ratio of the areas of the circles.
a) 1:3
b) 1:9
c) 3:4
d) 2:5
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Expert Answer

vefibiongedogn7z
Answered 2022-03-04 Author has 6 answers
Step 1
We know that circumference of circle =2πr
For first circle 2πr=12π
r=6
For second circle, 2πr=36π
r=18
Step 2
Area of the circle =πr2
For first circle
Area =π×(6)2 [r=6]
=36π
For second circle
Area =π×(18)2 [r=18]
=324π
Ratio of the area of circle is
36π:324π
=1:9
Itence the answe is 1:9
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