🎴 Flashcard Mode
Math Reasoning and Logic Puzzles
Card1 / 18
Mastered0
Review0
QuestionClick to flip
If the radius of the circle is increased by 6%, then the area of the circle is increased by ?
AnswerClick to flip back
A
12.36 %
💡 Explanation:
When the radius increases by 6%, the new radius becomes 1.06r. Area is proportional to the square of the radius (A = πr²), so the new area becomes π(1.06r)² = 1.1236πr². This represents a 12.36% increase over the original area. The percentage increase is calculated as (1.06² - 1) × 100 = 12.36%. This demonstrates how small percentage changes in radius compound when applied to area.