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1 vote
1.The radii of two circles are in the ratio of 3 to 1. Find the area of the smaller circle if the area of the larger circle is 27 sq. in.

9
6
3
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User SteeveDroz
by
5.8k points

2 Answers

5 votes

Answer:

3 in²

Explanation:

The linear ratio = 3 : 1, hence

The area ratio = 3² : 1² = 9 : 1

let x be the area of the smaller circle, then


(9)/(1) =
(27)/(x) ( cross- multiply )

9x = 27 ( divide both sides by 9 )

x = 3

Area of the smaller circle = 3 in²

User Jordanna
by
6.4k points
3 votes

It’s 9. 3x9 is 27. Nothing else times anything equals 27, excluding decimals.

User Mvc
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6.0k points