For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?
1 answer:
Answer: 31.43 cm
Step-by-step explanation:
The length of an arc is calculated using the formula:
X 2
r
where : theta is the angle in degree
r = radius
If the angle is given in Radian , the length can be calculated using the formula:
L = r∅
Since , the angle is given in degree , we will use the first formula.
L = X 2
r
L = X 2 X π X 15
L = X 2 X
X 15
L =
L = 31.42857143
L ≈ 31.43 cm
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