Question

1. This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show you work.

Answer 1

29.92 m²

Explanation:

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Answer 2

29.92 m² (nearest hundredth)

Explanation:

`\textsf{Area of a sector}=(\theta)/(360\textdegree)\pi r^2`

`\implies \textsf{area}=(30)/(360\textdegree)\pi \cdot 5.5^2=(121)/(48)\pi \textsf{ m}^2`

Area of rectangle = width × length

⇒ area = 4 × 5.5 = 22 m²

Total area = area of sector + area of rectangle

⇒ total area =
`(121)/(48)\pi +22` = 29.91943148... = 29.92 m² (nearest hundredth)