Question

express the centesimal measure as radian measure and sexagesimal mesaure [200g/9]c​

Answer 1

Explanation:

(i)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