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Asked in ETEA MDCAT 2009 2009

If the area of a circle is equal to its circumference the radius of this circle is:

Correct answer: B. 2

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Explanation

πr2=2πr⟹r=2.The correct option is B. 2. The area of a circle is given by the formula A = πr^2, where r is the radius. The circumference of a circle is given by the formula C = 2πr. If the area of a circle is equal to its circumference, we can set up the equation πr^2 = 2πr. Simplifying this equation, we get r = 2.Therefore, the radius of this circle is 2.AS, IT IS NUMERICALLY DERIVATED SO IT COULD HAVE ONLY ONE ANSWER.

This question appeared on the ETEA MDCAT 2009 paper, which you can sit online with every answer explained.

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About Quantitative Reasoning

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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