Maths Paper 1, November 2024, question 3.2

A circle of radius 8 cm is drawn. A second, smaller circle is drawn so that it passes through the centre of the first circle and touches the first circle from the inside. A third circle is drawn in the same way inside the second circle, passing through the centre of the second circle and touching it from the inside. This pattern of circles carries on, as shown in the diagram below. Calculate the sum of the areas of the first 8 circles. Give your answer correct to two decimal places.