ABC26GN4294 · Area

Subject: General Aptitude · Chapter: Area · Exam: 2010 · Marks: · Difficulty:

The radius of a cricle is so increased that its circumference increased by 5%. Find the percentage increase in its area.
Answer
Answer (as printed):
Explanation
Let the original radius of the circle be r. Then, original circumference = 2pr.  105   21  New circumference = 105% of (2pr) =  × 2 πr  = 2 π  r  .  100   20  21 \ New radius = r. 20 2  21  441 2 New area = π ×  r  = πr .  20  400  441 2  41 Increase in area =  πr – πr 2  = πr 2 .  400  400  41 2 1  Increase % in area =  πr × 2 × 100  % = 10.25%.  400 πr 

Explanation as extracted from the printed page; notation may be imperfect.

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