Question

find the perimeter and area of the adjoining shaded region, where O is the center of the circle of radius 5 metre, DA=AC=3 metre and CB =2 metre. (A, B are centres of the circle of radii 3 metre and 2 metre respectively)​

Answer 1

Answer:

Perimeter of shaded region is 13.2 cm

Step-by-step explanation:

Diameter of semicircle AEB=2.8 cm

radius of semicircle (AEB)=28/2=1.4 cm

Diameter of semicircle BFC=1.4 cm

radius of semicircle (BEC)=21.4

Diameter of semicircle ADC=2.8+1.4=4.2 cm

radius of semicircle (ADC)=4.212=2.1cm

perimeter of shaded region = and sum of arc of semicircle AEB,

BFCand ADC=[(π×1.4)+(π×0.7)+(π×2.1)]cm

                           =π(1.4+0.7+2.1)cm

                            =(722)×.4

                            =22×.6

                             =13.2cm

Perimeter of shaded region is 13.2 cm