Answer: Eric still needs
of a deck.
Step-by-step explanation:
You know that:
- Eric need 1/2 deck of playing cards.
- Eric has 2/7 of a deck.
Therefore, to find the fraction of a deck that Eric still needs, you must subtract 1/2 and 2/7:
- Find the least common multiple of the denominators:


- Now, you can make the subtraction:

Therefore, he still needs
of a deck.
we know its diameter is 12, thus its radius must be half that, or 6.
![\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies A=\pi 6^2\implies A=36\pi \implies A\approx 113.097](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5C%20A%3D%5Cpi%20r%5E2~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D6%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%206%5E2%5Cimplies%20A%3D36%5Cpi%20%5Cimplies%20A%5Capprox%20113.097)
Yeah they looks pretty similar