Question

What is the approximate area of Laura’s yard?

Answer 1

To find the area of an irregular shape (in general)

⇒ is best to split it into different regular shapes

⇒ (in this case), let's split into a half-circle and a square

Area of the half-circle:

⇒ half the area of a circle (
`\pi r^2`)

⇒ Area of half-circle =
`(1)/(2)\pi r^2`

• r: length of radius ⇒ half of length of the diameter ⇒ 8.5m
• 
  `\pi` = 3.14

Area of Half Circle =
`(1)/(2)\pi (8.5)^2 = 113.5m^2`

Area of square

⇒ length * width

⇒ Area of Square = 17 * 17 = 289
`m^2`

Total Area = 113.5 + 289 = 402.5 ≈ 402
`m^2`

Hope that helps!