Answer:
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 = [tex]\pi r^{2}[/tex]
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.
