SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Composite Figures, SM-Bank 005

Find the perimeter of the figure below correct to two decimal places.  (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

\(585.39\ \text{mm  (2 d.p.)}\)

Show Worked Solution
\(\text{Perimeter}\) \(=2\ \text{straight sides}+\dfrac{280}{360}\times \ \text{circumference}\)
  \(=2\times 85+\Bigg(\dfrac{7}{9}\times 2\pi r\Bigg)\)
  \(=170+\Bigg(\dfrac{7}{9}\times 2\pi \times 9.8\Bigg)\)
  \(=585.3883\dots\)
  \(=585.39\ \text{mm  (2 d.p.)}\)

 

Filed Under: Composite Figures Tagged With: num-title-ct-core, smc-4842-30-Sectors

Copyright © 2014–2025 SmarterEd.com.au · Log in