The expansion is a result of the funding boost announced by the UK government last year.
The new languages will be Afaan Oromo, Amharic, Gujarati, Igbo, Korean, Marathi, Pidgin, Punjabi, Telugu, Tigrinya, and Yoruba.
The first new services are expected to launch in 2017.
Pidgin - West African lingua franca
Asian languages:
"This is a historic day for the BBC, as we announce the biggest expansion of the World Service since the 1940s," said BBC director general Tony Hall.
"The BBC World Service is a jewel in the crown - for the BBC and for Britain.
"As we move towards our centenary, my vision is of a confident, outward-looking BBC which brings the best of our independent, impartial journalism and world-class entertainment to half a billion people around the world.
"Today is a key step towards that aim."
The plans include the expansion of digital services to offer more mobile and video content and a greater social media presence.
On Wednesday the BBC launches a full digital service in Thai, following the success of a Facebook-only "pop-up" service launched in 2014.
Other expansion plans include:
£289m
investment
11
new languages
12 new or expanded daily TV and digital bulletins
40 languages covered after expansion
500m  people reached by 2022 - double the current number
1,300 new jobs, mostly non-UK
Fran Unsworth, the BBC's World Service director, said: "Through war, revolution and global change, people around the world have relied on the World Service for independent, trusted, impartial news.
"As an independent broadcaster, we remain as relevant as ever in the 21st Century, when in many places there is not more free expression, but less.
"Today's announcement is about transforming the World Service by investing for the future.
"We must follow our audience, who consume the news in changing ways; an increasing number of people are watching the World Service on TV, and many services are now digital-only.
"We will be able to speed up our digital transformation, especially for younger audiences, and we will continue to invest in video news bulletins.
"What will not change is our commitment to independent, impartial journalism."
The new language services mean the BBC World Service will be available in 40 languages, including English.
Lord Hall has set a target for the BBC to reach 500 million people worldwide by its centenary in 2022.
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Wandsworth inmate Neil Moore was on remand when he used an illicit mobile phone to create a fake email account.
He posed as a senior court clerk and sent bail instructions to prison staff, who released him on 10 March 2014.
His deception was uncovered when solicitors went to interview him three days later, only to find him gone.
Moore, 28, from Ilford, east London, handed himself in three days later.
Southwark Crown Court heard he had set up a fake web domain which closely resembled that of the court service's official address.
He then emailed the prison's custody inbox with instructions for his release.
The court heard Moore registered the bogus website in the name of investigating officer Det Insp Chris Soole, giving the address and contact details for the Royal Courts of Justice.
Prosecutor Ian Paton said: "A lot of criminal ingenuity harbours in the mind of Mr Moore. The case is one of extraordinary criminal inventiveness, deviousness and creativity, all apparently the developed expertise of this defendant".
The judge, Recorder David Hunt QC, described the behaviour as "ingenious" criminality.
Moore had previously used four different aliases to commit fraud worth Â£1,819,000 in total.
Posing as staff from Barclays Bank, Lloyds Bank, and Santander he managed to persuade large organisations to give him vast sums of money.
Sometimes he answered calls from victims using a man's voice and then pretended to transfer the call to a colleague before resuming the conversation in a woman's voice, the court heard earlier.
He was so convincing police initially co-charged his partner Kristen Moore with the deception. All charges against her have now been dropped.
Moore, who has pleaded guilty to eight counts of fraud and one count of escape from lawful custody, will be sentenced on 20 April.
The BBC World Service will launch 11 new language services as part of its biggest expansion "since the 1940s", the corporation has announced.
[NEXT_CONCEPT]
A convicted fraudster used an "ingenious" escape plot to trick prison wardens into letting him go free, a court has heard.