Please help:)

[janga47]

A circle sits inside a quarter-circle as shown. There are two horizontal lines in the picture. The length of the upper horizontal line is 16 cm. Find the area of quarter-circle not counting the circle.

 

[Deleted member 4993]

A circle sits inside a quarter-circle as shown. There are two horizontal lines in the picture. The length of the upper horizontal line is 16 cm. Find the area of quarter-circle not counting the circle. View attachment 23115

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[Dr.Peterson]

A circle sits inside a quarter-circle as shown. There are two horizontal lines in the picture. The length of the upper horizontal line is 16 cm. Find the area of quarter-circle not counting the circle.

It looks initially like there isn't enough information, doesn't it? But if you try solving it, perhaps taking one of the radii as a variable and writing expressions for the areas, you'll find that the result is independent of the variable.

Just try it and see! Never give up just because you don't see everything that's going to happen ahead of time; math is an adventure!