Question

the minute hand of a clock is root 7 cm long then area described by the minute hand on the face of the clock between 5 and 5 : 15 am is

Answer 1

At 5am, the minute hand will be indicating towards 12 and at 5:15,it will indicate towards 3

So, the angle between both will be 90°

Now,Area of an arc of a circle is equal to

$\sf =\frac{\theta}{360°} x \pi \:r^2 \\\\\sf</p><p>=\frac{90°}{360°} x \pi\sqrt{7}^2 \\\\\sf</p><p>=\frac{ \cancel{90°} }{ \cancel{360°} \:\:4} x 7\pi \\\\\sf</p><p>=\frac{7 \pi}{4} \\\\\sf </p><p>=\frac{ \cancel{7} x \frac{22}{ \cancel{7}}}{4} \\\\\sf</p><p>=\frac{22}{ 4} \\\\\sf</p><p>=5.5 cm^2</p><p>$