Question

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

Answer 1

Answer:

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

Answer 2

Step-by-step explanation:

Given:

Length of rectangle = 8 cm

Breadth of rectangle = 6 cm

Area of rectangle = length × breadth

= 8 × 6 = 48 cm2

Consider

ABC,

By Pythagoras theorem,

AC2 = AB2 + BC2

= 82 + 62 = 64 + 36 = 100

AC = √100 = 10 cm

⇒ Diameter of circle = 10 cm

Thus, radius of circle =

= 5 cm

Let the radius of circle be r = 5 cm

Then, Area of circle = πr2

= 22/7 × 5 × 5

= 78.57 cm2

Area of shaded region = Area of circle – Area of rectangle

= 78.57 - 48

= 30.57 cm2

Hence, the area of shaded region is 30.57 cm2

I HOPE IT HELPS , PLEASE MARK IT AS BRAINLIEST