Where to find iOS Simulator on SDK/Xcode4 download?

I need to use the iOS Simulator for a iPad website I'm working on.

I have downloaded Xcode4(http://developer.apple.com/devcenter/ios/index.action)

I'm now looking for the iOS Simulator and can't find it anywhere. Do I have to launch it via Xcode if so how?

EDIT:

I'm not seeing any Developer Folder. Someone on the App store said this on a rating of Xcode...

"Is the Developer folder put somewhere other than the top level of the hard drive?"

The easiest way to launch it is via Xcode, running an application you’ve just built. If you want to open it manually, though—for testing a website or whatever—it’s in /Developer/Platforms/iPhoneSimulator.platform/Developer/Applications/.

In the spotlight search for "iOS Simulator" - once it is found, launch it. It'll probably open as an iPhone simulator so select from simulators' menu "Hardware -> Device -> iPad"

I found mine here:

/Applications/Xcode.app/Contents/Developer/Platforms/iPhoneSimulator.platform/Developer/SDKs/iPhoneSimulator6.0.sdk

Could be they moved it in the latest version of Xcode - I'm running 4.5.2.

You can download the XCode4 package from App Store application in your Mac. it must have the Simulator application and you can find it in > /Developer/Platforms/iPhoneSimulator.platform/Developer/Applications/.