Question

find the area of the shaded region in each figure,if thr radius of thr bigger circle is 9 cm and the smaller circle is 4 cm.are the areas of the shaded region same in all figured?​

Answer 1

Answer:

The area of the shaded region in each figure is 81 π - 16 π = 65 π square cm.

Step-by-step explanation:

From the above question,

They have given :

The area of the shaded region in each figure is the difference between the area of the larger circle and the area of the smaller circle.

The area of a circle with radius 'r' is given by the formula π$r^{2}$.

The area of the shaded region is 65π square cm.

Therefore,

        The area of the larger circle is π * $9^{2}$ = 81 π square cm , and the area of the smaller circle is π * $4^{2}$ = 16 π square cm.

The area of the shaded region in each figure is 81 π - 16 π = 65 π square cm.

So, the areas of the shaded region are same in all figures.

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