Please solve sorry for what i hav written in paper
Dear Student,
Please find below the solution to the asked query:
Given : Diameter of three small semicircle = 3 cm , So radius = 1.5 cm
And
Diameter of circle = 4.5 cm , So radius of circle = 2.25 cm
And
Radius of big semicircle = 4.5 cm
Then,
Area of shaded region = Area of big semicircle + Area of small semicircle - Area of circle - 2 ( Area of small semicircle )
We know area of circle = r2 , So
Area of given circle = ( 2.25 )2 = 5.0625 cm2
And we know area of semicircle = r2 , So
Area of big semicircle = ( 4.5 )2 = 20.25 = 10.125 cm2
And
Area of small semicircle = ( 1.5 )2 = 2.25 = 1.125 cm2
Therefore,
Area of shaded region = 10.125 + 1.125 - 5.0625 - 2 ( 1.125 ) = 10.125 + 1.125 - 5.0625 - 2.25 = 3.9375 = 3.9375 = 12.375 cm2 ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
Please find below the solution to the asked query:
Given : Diameter of three small semicircle = 3 cm , So radius = 1.5 cm
And
Diameter of circle = 4.5 cm , So radius of circle = 2.25 cm
And
Radius of big semicircle = 4.5 cm
Then,
Area of shaded region = Area of big semicircle + Area of small semicircle - Area of circle - 2 ( Area of small semicircle )
We know area of circle = r2 , So
Area of given circle = ( 2.25 )2 = 5.0625 cm2
And we know area of semicircle = r2 , So
Area of big semicircle = ( 4.5 )2 = 20.25 = 10.125 cm2
And
Area of small semicircle = ( 1.5 )2 = 2.25 = 1.125 cm2
Therefore,
Area of shaded region = 10.125 + 1.125 - 5.0625 - 2 ( 1.125 ) = 10.125 + 1.125 - 5.0625 - 2.25 = 3.9375 = 3.9375 = 12.375 cm2 ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards