Geometry find the area of the yellow round to the nearestbrainliest

64.62 cm²

Step-by-step explanation:

In the question a rectangle is inscribed in a circle.

and we have to find the area of yellow region.

It is clear from the figure that if we subtract area of rectangle then we can get the area of yellow part.

Area of yellow part = area of circle - area of rectangle

Since area of a circle =

where r is the radius of the circle

Area of circle = π ( 7.53 )²

                      = 3.14 ( 7.53 )²

                     = 178.04 cm²

Area of rectangle = Length × Width

Now we know the diagonal of the rectangle are same so rectangle will a square.

For which length = width

and area of square = (Length)²

Now length of the diagonal will be

(diagonal)² = length² + length²

                   = ( 7.53 × 2 )² = 2(length)²

Length² = 113.4018

Length = 10.65 cm

Now area of square = 10.65 × 10.65

                                 = 113.42 cm²

Finally area of yellow part = 178.04 - 113.42

                                           = 64.62 cm²

Area of the yellow region is 64.62 cm².

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step-by-step explanation: