express the 500 centasual measure as radian measure
Answers
Answer:We know, Sexagesimal, Centesimal and Circular Systems are the three different systems of measuring angles. Sexagesimal system is also known as English system and centesimal system is known as French system.
To convert the one system to the other system its very necessary to know the relation among the Sexagesimal system, Centesimal system and Circular system.
The relation between Sexagesimal, Centesimal and Circular systems are discussed below:
Since 90° = 1 right angle, hence, 180° = 2 right angles.
Again, 100g = 1 right angle; hence, 200g = 2 right angles.
And, πc = 2 right angles.
Therefore, 180° = 200g = πc.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
)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