Mathematics

Calculate, correct to 2 significant figures, the length of the arc of a circle of…

Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle. [Take π = 22/7].

  • A.
    2.3cm
  • B.
    4.6cm
  • C.
    8cm
  • D.
    16cm
  • E.
    110cm
Correct Answer: Option B
Explanation

Length of arc = (frac{theta}{360} times 2pi r)

= (frac{75}{360} times 2 times frac{22}{7} times 3.5)

= (4.583 cm)

(approxeq) 4.6 cm (to 2 sig. figs)