Per NCERT, ĀRYABHAṬA (499 CE) gave a value for π and described it as 'āsanna' — what does that word indicate about his understanding?
A'Approaching' or 'approximate' — Āryabhaṭa understood that π cannot be given exactly as one simple fraction
B'Exact' — Āryabhaṭa claimed his value was the precise value of π
C'Wrong' — Āryabhaṭa believed his value was incorrect
D'Irrelevant' — Āryabhaṭa didn't care about precision
Answer & Solution
Correct answer: A. 'Approaching' or 'approximate' — Āryabhaṭa understood that π cannot be given exactly as one simple fraction
Per NCERT, 'āsanna' means approaching/approximate — Āryabhaṭa's insight that π is not exactly any single fraction is profound. The other options misstate the chapter.
Related questions
Per NCERT's discussion of why π is BIGGER than 3 (Mesopotamian observation, c. 1900 BCE), Per NCERT, when we write π ≈ 22/7, what does this notation MEAN exactly?Per NCERT, the digits of π that match 'How I wish I could recollect pi' (counting letters Per NCERT, in what year is Pi Day celebrated annually in North America — based on the digiPer NCERT, ARCHIMEDES of Syracuse (250 BCE) 'trapped' π between two values — using what mePer NCERT, which approximate value did BRAHMAGUPTA (628 CE) suggest for π — chosen for matPer NCERT, ZU CHONGZHI's 'Close Ratio' (Milü) approximation of π is which fraction — accurPer NCERT, what does it mean to say that π is an IRRATIONAL number?