IPhone 4S still says 3G even when connected to home Wi-Fi?

So I'm sitting at home, phone is connected to my home Wi-Fi. Internet is loading totally fine but my phone still says 3G instead of the Wi-Fi icon. I'm only pay as you go which doesn't include 3G, so it couldn't possibly be running on 3G cause I have no money in my phone. I disabled 3G on my phone anyway, and the icon changed to a circle, still no Wi-Fi symbol but Internet is still loading fine and at normal speed. What's wrong with my phone?
It also does this even if I connect to other Wi-Fi spots outside of the house.

Well problem #1 its an iPhone. My android has 4gs all the time just sayin

That is weird. Is your iPhone jailbroken?

Try holding the Home and Power buttons to force a hard reset (wait till the Apple logo comes up). That sometimes helps with odd/intermittent faults.

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