Question

In fig abcd is a rectangle inscribed in a circle. If AB =8 cm BC=6cm find area of shaded region

Answer 1

If AB = 8 cm BC = 6cm then the area of the shaded region is 30.57 cm².

Hi there,

The required figure is missing. So, I have attached the figure which satisfies the questions given and solved it accordingly. Thanks  

Step-by-step explanation:

Step 1:

It is given,  

AB = length of the rectangle = 8 cm

BC = breadth of the rectangle = 6 cm

From the figure attached below 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 = $\frac{AC}{2}$ = $\frac{10}{2}$ = 5 cm

Step 2:

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

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Answer 2

it is the ans for your question