How many total seconds are there in (12^\circ 20' 30'')?
Answer and explanation
Correct answer: \(44430''\)
Since \(1^\circ=3600''\) and \(1'=60''\), \(12^\circ 20' 30''=12\times3600+20\times60+30=43200+1200+30=44430''\). Therefore, option A is correct. \(43320''\) results from an incorrect conversion of the minutes and seconds. Exam tip: when converting an angle to seconds, multiply degrees by \(3600\) and minutes by \(60\).
Frequently asked questions
What is the correct answer to this question?
\(44430''\)
Why is this the correct answer?
Since \(1^\circ=3600''\) and \(1'=60''\), \(12^\circ 20' 30''=12\times3600+20\times60+30=43200+1200+30=44430''\). Therefore, option A is correct. \(43320''\) results from an incorrect conversion of the minutes and seconds. Exam tip: when converting an angle to seconds, multiply degrees by \(3600\) and minutes by \(60\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
