Consider the following statements
Area of segment of a circle is less than area of its corresponding sector.
Distance travelled by a circular Wheel of diameter 2d cm in one revolution is greater than 6d cm.
Which of the above statements is/are correct?


A) Only I

B) Only II

C) Both I and II

D) Neither I nor II

Correct answer:
C) Both I and II

Description for Correct answer:

We know that, area of segment (PRQP) = Area of sector (OPRQO)- Area of \( \Large \triangle OPQ\)

=\( \Large \frac{\pi r^{2}\theta}{360}-\frac{1}{2}r^{2}sin\theta \)
 


so, the area of a segment of a circle is always less than area of its corresponding sector.

II. Distance travelled by a circular wheel of diameter 2d cm in one revolution

= \( \Large 2\times 3.14\times d \)=6.28d

which is greater than 6d cm.



Please provide the error details in above question