The diagram shows a logo made from three circles - Edexcel - GCSE Maths - Question 4 - 2017 - Paper 1

The radius of the middle circle is (3 , cm). Thus,

$A = \pi (3)^2 = 9\pi \, cm^2$

The radius of the smallest circle is (2 , cm). Thus,

$A = \pi (2)^2 = 4\pi \, cm^2$

The shaded area is the area of the middle circle minus the area of the smallest circle:

$\text{Shaded area} = 9\pi - 4\pi = 5\pi \, cm^2$

Now, calculate the total area of all circles:

$\text{Total area} = 16\pi \, cm^2\text{ (largest)} + 9\pi \, cm^2\text{ (middle)} + 4\pi \, cm^2\text{ (smallest)} = 29\pi \, cm^2$

Finally, the fraction of the logo that is shaded is:

$\text{Fraction shaded} = \frac{5\pi}{29\pi} = \frac{5}{29}$

Since ( \frac{5}{29} ) is not equal to ( \frac{1}{3} ), Daisy is incorrect.