Given below are two statements: one is labelled as Assertion (A)...

The angle subtended by the coin at the eye is given by the small angle approximation $\theta = \dfrac{\text{arc}}{\text{radius}} \approx \dfrac{d}{57.3 d} = \dfrac{1}{57.3} \text{ rad}$.

We know that $\pi \text{ rad} = 180^\circ$, which gives $1 \text{ rad} = \dfrac{180}{\pi} \approx 57.3^\circ$.

Therefore, the angle subtended is $\theta = \left(\dfrac{1}{57.3}\right) \times 57.3^\circ = 1^\circ$.

Thus, the coin subtends an angle of approximately $1^\circ$, not $1 \text{ radian}$. Hence, the Assertion (A) is false.

The Reason (R) correctly states the approximate value of $1 \text{ radian}$ in degrees, so it is true.

Answer: (A) is false but (R) is true