Two circles have a scale factor of 3:2. What is

Emmanuella Browne

Emmanuella Browne

Answered question

2022-03-03

Two circles have a scale factor of 3:2. What is the ratio of the areas of these circles?
a) 3:2
b) 9:4
c) 12:26
d) 13:12

Answer & Explanation

Tate Puckett

Tate Puckett

Beginner2022-03-04Added 6 answers

Step 1
The area of the circle is =πr2. Where r is the radius of the circle.
Let the radius of circle A is 3 and the radius of the scale factor B is 2. Then, the ratio of areas of these circles
π(3)2π(2)2=94
Hence the ratio of the areas of these circles is 9:4.
Hence option (b) is true.

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