Multiple choice

Perimeter of a regular pentagon inscribed in a circle with centre $O$ and radius $a$cm equals $10a\sin{{36}^{0}}$cm.

  1. Both Assertion and Reason are individually true and Reason is the correct explanation of Assertion.

  2. Both Assertion and Reason are individually correct but Reason is not the correct explanation of Assertion

  3. Assertion is correct but Reason is incorrect

  4. Assertion is incorrect but Reason is correct
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

The side length of a regular pentagon inscribed in a circle of radius a is found using the chord length formula, which gives 2a sine 36 degrees. Multiplying this side length by the 5 sides of the pentagon results in a total perimeter of 10a sine 36 degrees, making the Assertion correct. The provided Reason is factually incorrect, so the Assertion is true while the Reason is false.

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