1MA0 Higher June 2013 Paper 2 Q23

23 Dan does an experiment to find the value of \(\pi\).
He measures the circumference and the diameter of a circle.

He measures the circumference, \(C\), as 170 mm to the nearest millimetre.
He measures the diameter, \(d\), as 54 mm to the nearest millimetre.

Dan uses \(\pi = \dfrac{C}{d}\) to find the value of \(\pi\).

Calculate the upper bound and the lower bound for Dan’s value of \(\pi\). (4)