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The area of the shaded region is 423.9 sq in.

Step-by-step explanation:

Given,

The radius(r) of inner circle = 11 in

The radius(R) of the outer circle = 16 in

To find the area of the shaded  region.

Formula

The area of a circle of radius r is πr²

Now,

The area of the inner circle = 3.14×11² sq in = 379.94 sq in

The area of the inner circle = 3.14×16² sq in = 803.84 sq in

The area of the shaded region = (803.84-379.94) sq in = 423.9 sq in

Hence,

The area of the shaded region is 423.9 sq in.

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step-by-step explanation:

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.