How much will Apple charge?

Question

I have a iPad mini with a broken screen, I'm from the UK. according to Apple's site, I still have warranty. how much will Apple charge me to replace the screen?
Repairs and Service Coverage: Active
Your product is covered for eligible hardware repairs and service under Apple's Limited Warranty. Estimated Expiration Date: 22 September 2014 Learn about Apple's coverage information for your product.

Answer 1

A broken screen is accidental damage and is not covered by the one year warranty (two years in the UK, I believe) against defects, so you will have to pay for a replacement according to these terms.
Apple's Limited Warranty and AppleCare product benefits are in addition to rights provided by the EU statutory warranty. Learn more.
My iPad is not eligible for warranty service. What are my service options?
Apple offers two service options for iPads that are not eligible for warranty service.
Battery Replacement Service
If your iPad requires service only because the battery's ability to hold an electrical charge has diminished, please refer to the Battery Replacement Service information.
Out-of-Warranty Service
If you own an iPad that is ineligible for warranty service but is eligible for Out-of-Warranty (OOW) Service, Apple will replace your iPad with an iPad that is new or equivalent to new in both performance and reliability for the Out-of-Warranty Service fee listed below.
iPad model
Out-of-Warranty Service Fee
iPad mini
£176.44
iPad, iPad 2,
iPad mini Retina
£206.44
iPad 3rd, 4th generation,
iPad Air
£256.44
All fees are in British Pound Sterling and include VAT and shipping. The £7.44 shipping fee applies only if service is arranged through Apple and requires shipping. 
Certain damage is ineligible for Out-of-Warranty service, including catastrophic damage, such as the device separating into multiple pieces, and inoperability caused by unauthorized modifications. However, an iPad that has failed due to contact with liquid may be eligible for Out-of-Warranty service.
Apple reserves the right to determine whether or not your iPad is eligible for Out-of-Warranty service. Replacement iPads have a 90-day limited hardware warranty or assume the remainder of your standard warranty or AppleCare product coverage, whichever is longer. Please see the Apple Repair Terms and Conditions for further details.
Apple's Limited Warranty and AppleCare product benefits are in addition to rights provided by the EU statutory warranty. Learn more