List of top Mathematics Questions on measurement of angles asked in KEAM

Let $L$ be an arc of a circle which subtends $45^\circ$ at the centre. If the radius of circle is $4$ cm, then the length of $L$ in centimeter is

Compute \( \int \frac{\sqrt{x + 1}}{\sqrt{x}} \, dx \)

Find the values of: \[ \cos 75^\circ, \cos 15^\circ, \cos 45^\circ \]

Evaluate the expression: \[ \frac{\sin \frac{\pi}{7} + \sin \frac{3\pi}{7}}{1 + \cos \frac{\pi}{7} + \cos \frac{2\pi}{7}} \]