Question

20. Find the area of the shaded part of the following shapes, if the arc is circular,(a) 20cm -10cm of diameter​

Answer 1

Step-by-step explanation:

AB

2

=AC

2

+BC

2

=(12)

2

+(16)

2

=144+256=400

AB=

400

=20m=Diameter

Radius =

2

20

=10m

Arc length ACB =

2

1

×2πr=

2

1

×2×3.142×10=31.42m

Perimeter of shaded region =31.42+12+16=59.42cm

Area of shaded region =

2

1

πr

2

−

2

1

×AC×CB=

2

1

(3.142×10

2

−12×16)

=

2

1

(314.2−192)=

2

1

×122.2=61.1cm

2