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Hi your answer is as follows
Step-by-step explanation:
It is given,
AB = length of the rectangle = 8 cm
BC = breadth of the rectangle = 6 cm
From the figure given in your text book we can see that AC is the diagonal of the rectangle, therefore, by using the Pythagoras theorem, we get
AC = √[AB² + BC²] = √[8² + 5²] = √[100] = 10 cm
Also, AC is the diameter for the circle that inscribes the rectangle.
∴ Radius of the circle = = = 5 cm
Area of the rectangle = length * breadth = 8 * 6 = 48 cm²
And,
Area of the circle = πr² = (22/7) * 5² = 78.57 cm²
Thus,
The area of the shaded region is given by,
= [Area of the circle] – [Area of the rectangle]
= 78.57 cm² - 48 cm²
= 30.57 cm²
Mark as brainliest if you are satisfied with my answer
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