Question

The diameter of the first coin is 2/3 in while the second coin is 1/2in. How much larger is the first coin than the second coin?

Answer 1

Step-by-step explanation

We can find how much larger is the first coin than the second coin by finding the difference between the areas of the two coins.

The area is given as;

`A=\pi((d)/(2))^2`

Therefore,

`\begin{gathered} \pi((2)/(3))^2-\pi((1)/(2))^2 \\ =(4)/(9)\pi-(1)/(4)\pi \\ =(16\pi-9\pi)/(36) \\ =(7\pi)/(36) \\ =2.4435 \end{gathered}`

Answer

Therefore the first coin is bigger than the second by

`2.4435\text{ square inches}`