Question

find the perimeter and area of the shaded portion of each following figures. All dimensions are in cm.

Please answer :(

Answer 1

Step-by-step explanation:

R.E.F image

Circumference of bigger semi-circle =2πR=2×

7

22

×14=88cm

Circumference of smaller semi-circle =2πr=2×

7

22

×7=44cm

Perimeter =88+44+2x=132+2×7=132+14=146cm

Area of bigger semi-circle =

2

πR

2

=

7×2

22×14×14

=308cm

2

Area of smaller semi-circle =

2

πr

2

=

7×2

22×7×7

=77cm

2

Area of shaded region = Area of big - Area of small

=308−77=231cm

2

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