Multiple choice

If a wire of length 22 cm is bent in the shape of a circle, then area of the circle so formed is 40 $cm^2$.

  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

  2. Both Assertion and Reason are correct but Reason is not the correct explanation for 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
D Correct answer
AI explanation

Using the circumference formula 2 * pi * r equals 22, the radius r is 7 / pi cm. The circle area formula pi * r^2 yields an area of pi * (7 / pi)^2 = 49 / pi, which is approximately 15.6 sq cm, not 40 sq cm, making the assertion incorrect. The reason correctly applies the area formula, so the assertion is incorrect but the reason is correct.