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
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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