Respuesta :
Hello from MrBillDoesMath!
Answer:
10 Pi
Discussion:
Circumference of full circle = 2 Pi r = 2 Pi (15) = 30 Pi. As a circle contains 360 degrees, 120 degrees is one third of the circle and subtends an arc of
(30 Pi)/3 = 10 Pi
Thank you,
MrB
Answer:
The length of an arc is, 31.41594 cm
Step-by-step explanation:
The arc length of the circle(l) is given by:
[tex]l =r \theta[/tex] ....1[]
where
r is the radius of the circle
[tex]\theta[/tex] is the angle in radian.
As per the statement:
For a circle with the radius of 15 cm and angle is 120 degree.
⇒r = 15 cm and angle in degree = 120
Use conversion:
1 degree = 0.0174533 radian
then;
120 degree = 2.094396 radian
⇒[tex]\theta = 2.094396[/tex]
Substitute the given values in [1] we have;
[tex]l = 15 \cdot 2.094396 = 31.41594[/tex]
⇒l = 31.41594 cm
Therefore, the length of an arc is, 31.41594 cm
