SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Circles, SM-Bank 047

Calculate the total perimeter of the sector below, correct to one decimal place.  (2 marks)

Show Answers Only

\(17.2\ \text{cm  (1 d.p.)}\)

Show Worked Solution

\(\text{Perimeter}=\text{diameter}+\dfrac{\text{circumference}}{2}\)

\(\text{Perimeter}\) \(=d+\dfrac{\pi d}{2}\)
  \(=6.7+\Bigg(\dfrac{\pi \times 6.7}{2}\Bigg)\)
  \(=17.2243\dots\)
  \(=17.2\ \text{cm  (1 d.p.)}\)