If the circumference of a circle is 100 units, Then what will the length of the arc described by an angle of 20 degree?
Submitted by: AdministratorWE KNOW THAT CIRCUMFERENCE = 2 * 3.142 * RADIUS
AND THEN RADIUS = (CIRCUMFERENCE )/2*3.142
RADIUS = 100/2*3.142
RADIUS = 50/3.142
SO , ANGLE = 20 DEGREES
ANGLE = LENGTH/RADIUS
(20 * 3.142)/180 = (LENGTH*3.142)/ 50 CHANGE DEGREE TO RADIANS
THEREFORE LENGTH = 100/18 = 5.5
Submitted by: Administrator
AND THEN RADIUS = (CIRCUMFERENCE )/2*3.142
RADIUS = 100/2*3.142
RADIUS = 50/3.142
SO , ANGLE = 20 DEGREES
ANGLE = LENGTH/RADIUS
(20 * 3.142)/180 = (LENGTH*3.142)/ 50 CHANGE DEGREE TO RADIANS
THEREFORE LENGTH = 100/18 = 5.5
Submitted by: Administrator
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