Both circles are similar, therefore:
The area of circle B is: 33.75 sq. units.
The ratio of the area of circle A to that of circle B = 9/16 = 0.75
What is the Area of Similar Circles?
The ratio of the area of similar circles = ratio of the square of their scale factor.
Given the following:
Area of circle A = 45 sq. units.
Scale factor = 3/4
The area of circle B = 45 × 3/4 = 33.75 sq. units.
The ratio of the area of circle A to that of circle B = (3/4)² = 9/16 = 0.75
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