Carcass wrote:

Attachment:

circles.jpg

The circles shown are tangent at point B. Point A is the center of the larger circle, and line segment AB (not shown) is a diameter of the smaller circle. The area of the smaller circle is what fraction of the area of the larger circle?

enter your valueLet's

assign some values that meet the given conditions.

So,

let's say that AB = 2This means the RADIUS of the LARGE circle =

2It also means that the DIAMETER of the SMALL circle =

2If the DIAMETER of the SMALL circle =

2, then the RADIUS of the SMALL circle =

1The area of the smaller circle is what fraction of the area of the larger circle?Area = π(radius)²

So, area of BIG circle = π(

2²) = 4π

And the area of SMALL circle = π(

1²) = 1π

From here, we can see that the area of the smaller circle is 1/4 of the area of the larger circle (i.e., 1π is 1/4 of 4π)

Answer: 1/4

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

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