Yes, Ireland is part of the British Isles.
The two large islands of Britain and Ireland, and the many smaller islands that surround them are sometimes collectively referred to by some people as "the British Isles". This includes two separate independent states, (1) the United Kingdom of Great Britain and Northern Ireland and (2) the republic of Ireland.
Most people in Ireland, being Irish rather than being British, neither use nor like the term as the term implies that they are British, so it is not often used in Ireland and frequently vociferously objected to. Sometimes a term such as 'These Islands', or 'the British and Irish Isles' is used. Others have attempted to use 'the Celtic Isles' (which ignores English people and is thus just as unacceptable) or just the Irish Isles' for Ireland and the 'British Isles' for the remaining islands.
The jury is still out as it was a geopolitical term from imperial days when Ireland was within the Union of the United Kingdom (up until 1937) and remains a term in dispute.
The archipeligo of islands also includes the Isle of Man, the Orkneys, the Shetlands, the Isle of Wight, the Blaskets, the Aran Islands, a multitude of smaller islands (occupied and not) and Rockall island.
YES
315000 square kilometres. This includes Ireland, which geographically is part of the British Isles.
The Republic of Ireland is geographically part of the British Isles.
Ireland
The Republic of Ireland.
Ireland is in the British Isles, but is not a part of the United Kingdom.
The British Isles often refers to places that are not part of the UK, mainly the Republic of Ireland. So not all of the British Isles are in the UK.
Ireland
Ireland.
British Isles
Eire - or southern Ireland. Although it's part of the British Isles (being 'attached' to Northern Ireland) it's separate from the United Kingdom.
Geographically, the British Isles are the islands of Britain and Ireland and all of their off-shore islands.
Ireland is the smallest country in the British Isles