Question

The number of radians in a $720-$ degree angle can be written as $a\pi$ where $a$ is a constant. What is the value of $a$ ?

Answer 1

We have,

${720}^{\circ }$

We know that

$\pi ={180}^{\circ }$

Therefore,

$a\pi ={720}^{\circ }$

$a\pi =4\times {180}^{\circ }$

$a\pi =4\times \pi$

$a=4$

Hence, the value of $a$ is $4$.