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.

Question

asked May 16, 2023 124k views

2 Answers

Vladimir Shutyuk · Answer 1 · 2023-05-21T07:04:21+0000

Answer:

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)