In the centesimal system of angular measurement, 1 Circumference = ___________

Explanation:

1 circumference = 360⁰

In centesimal system, 

1 right angle = 100 grades

90⁰=100 grades

1⁰=100/90

1 circumference = 100 x (360/90)= 400 grades

Additional Information The following three different systems of units are used in the measurement of trigonometrical angles.
(a) Sexagesimal System:

• In the Sexagesimal System, an angle is measured in degrees, minutes, and seconds.

A complete rotation describes 360°
1 right angle = 90 degrees (90%)
1 degree (19) = 60 minutes (60")
1 minute (1') = 60 seconds (60")
(b) Centesimal System:

• In Centesimal System, an angle is measured in grades, minutes, and seconds
• In this system, a right angle is divided into 100 equal parts and each such part is called a Grade (1^g)

1 right angle = 100 grades (100^g)
1 grade (19) = 100 minutes (100)
minute (1') = 100 seconds (100")
(c) Circular System:

• In this system, a radian is considered as the unit for the measurement of angles.