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The area of a circle is 2464 square metres. What will be its circumference?

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Question

The area of a circle is 2464 square metres. What will be its circumference?

Options

  • 132 metre

  • 176 metre

  • 231 metre

  • 272 metre

MCQ
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Solution

176 metre

Explanation:

πr2 = 2464

⇒ `22/7 xx "r"^2` = 2464

⇒ r2 = `(2464 xx 7)/(22)` = 784

∴ r = `sqrt784` = 28 metre

∴ Circumference of circle = 2πr

= `2 xx 22/7 xx 28`

= 176 metre

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Mensuration - Area and Volume (Entrance Exam)
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