Question

Find the area of the shaded region of the square.

Answer 1

42
`cm^(2)`

Explanation:

area of the square=14*14(l*w)

=196
`cm^(2)`

radius=14/2

=7 cm

area of the circle=
`\pi r^(2)`

=
`(22)/(7)`*7*7

=154
`cm^(2)`

area of the shaded part =196-154

= 42
`cm^(2)`

Answer 2

Area

Area of a square

The formula in finding the area of a square is
`\tt A = {s}^(2)`

• 
  `\tt A = {s}^(2)`
• 
  `\tt A = {14cm}^(2)`
• 
  `\tt A = {196cm}^(2)`

Area of a circle

The formula in finding the area of a circle is
`\tt A = \pi r^2`

• 
  `\tt A = \pi r^2`
• 
  `\tt A = 3.14* {7cm^2}`
• 
  `\tt A = 3.14 * 49cm`
• 
  `\tt A = {153.86cm^2}`

Area of a shaded region

• 
  `\tt A=A-A`
• 
  `\tt A= {196cm}^(2)- {153.86cm^2}`
• 
  `\tt A= {42.14cm}^(2)`

Therefore, the area of the composite figure is 42.14cm²

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