Question

. In the given figure, AB is the diameter of the circle
with area pie sq. units. Another circle is drawn with
C as centre, which is on the given circle and passing
through A and B. Find the area of the shaded region.​

Answer 1

Given : AB is the diameter of the circle with area pie sq. units.

Another circle is drawn with C as centre, which is on the given circle and passing through A and B.

To Find  : the area of the shaded region.​

Solution:

Area of circle = πr²   = π

=> r = 1  

Radius of bigger circle   = √1²+1² = √2  sq units

Area of shaded region =  Area of smaller circle  -( area of smaller semi circle -  area of right angle triangle ) - area of sector of larger circle (with sector angle 90°)

Area of smaller circle =  π  sq units

( area of smaller semi circle -  area of right angle triangle )

= (1/2) π  - (1/2) * √2 * √2

=  π/2  - 1 sq units

area of sector of larger circle (with sector angle 90°)

= (90/360)  π  (√2)²

=  π/2 sq units

Area of shaded region =  π - (π/2  - 1)  - π/2

= 1  sq units

Area of shaded region is 1 sq units

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Answer 2

Answer:

hope this will help you

in this question the figure was not correct in the question