Question

The area and perimeter is needed

Answer 1

Perimeter = 30 + 4
`\pi` ≈42.56 cm

Area = 88 - 8
`\pi` ≈ 62.88 cm^2

Explanation:

area of rectangle = 11* 8 = 88

Perimeter of rectangle = 38

perimeter of circle = 2
`\pi`4 = 8
`\pi \\`

area of circle =
`\pi 4^(2)` = 16
`\pi`

Answer 2

Explanation:

Area of shaded region = Area of rectangle - area of semi circle

Rectangle:

length = 11 cm

Width = diameter of circle = 4 + 4 = 8 cm

Area 1 = length * width

= 11 * 8

= 88 sq. cm

Circle:

radius = r = 4 cm

Area of semicircle =
`(1)/(2)\pi r^(2)\\`

`=(1)/(2)*3.14*4*4\\\\= 25.12 \ cm^(2)`

Circumference of semicircle =
`(2\pi r)/(2)=\pi r`

= 3.14 * 4

= 12.56 cm

Area of the shaded region = 88 - 25.12 = 62.88 = 63 square cm

Perimeter of shaded region = 11 + 8 + 11 + circumference of semicircle

= 11 + 8 + 11 + 12.56

= 42.56

= 43 cm