Question

Express the sexadecimal measure 420 degree as radiant measure and centisimal measure

Answer 1

Answer:

We know that 180  

∘

=π  

c

 

⇒135  

∘

=  

180  

∘

 

135  

∘

×π  

c

 

​  

 

              =  

180

135

​  

×  

7

22

​  

 where π=  

7

22

​  

 

              =  

36

27

​  

×  

7

22

​  

=  

14

33

​  

 

c

=2.356194radians

We know that 400gradian =360  

∘

 

⇒135  

∘

=  

400

135

​  

×360  

∘

=121.5 gradians

(ii)We know that 180  

∘

=π  

c

 

⇒270  

∘

=  

180  

∘

 

270  

∘

×π  

c

 

​  

 

              =  

180

270

​  

×π  

              =  

18

27π

​  

=  

4

3π

​  

 

c

 

We know that 1gradian =400  

g

=360  

∘

 

⇒270  

∘

=  

360

270

​  

×400=300 gradians