SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Circles, SM-Bank 046

Calculate the total perimeter of the sector below, giving your answer as an exact value in terms of \(\large \pi\).  (2 marks)

Show Answers Only

\(100+50\pi\ \text{cm}\)

Show Worked Solution

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

\(\text{Perimeter}\) \(=d+\dfrac{\pi d}{2}\)
  \(=100+\Bigg(\dfrac{\pi \times 100}{2}\Bigg)\)
  \(=100+50\pi\ \text{cm}\)