Question 1

Paper 2Easy6 marks

A circular inspection window has a radius recorded as 6.4 cm6.4\text{ cm} correct to the nearest 0.1 cm0.1\text{ cm}

For this question, percentage error is

∣estimated value−actual value∣actual value×100%.\frac{|\text{estimated value}-\text{actual value}|}{\text{actual value}}\times 100\%.
(a)

Write down the lower and upper bounds for the radius.

[2]
(b)

Calculate the estimated area of the window, giving your answer to three significant figures.

[2]
(c)

Determine the greatest possible percentage error in this estimated area. Use unrounded values in your calculations and give your answer to three significant figures.

[2]

More AI 1.1 Number and approximation questions