Question

On expressing the following sexagesimal measure as radian measure & centesimal system ${135}^{\circ }$ we get $\frac{3\pi }{n}$ find n.

Answer 1

Solution -

Sexagesimal system of measurement

is a type by measurement that divides

a light angle into go equal parts and

every part is called as degree

And circular system of measurement is

a type of measurement that uses

the standered unit as radian.

Also are degree is equal to $\pi /{180}^{\circ }$

Now,

1 radian $=\pi /{180}^{\circ }$

So, ${135}^{\circ }$ will be $=135\times \frac{\pi }{180}=\frac{3\pi }{4}$

So, $n=4$