A circle has a radius of 12.6 cm.

What is the exact length of an arc formed by a central angle measuring 120°?



Enter your answer in the box. Express your answer using π .

Respuesta :

we know that

[the length of a circumference]=2*pi*r
for r=12.6 cm
[the length of a circumference]=2*pi*(12.6)---------> 25.2*pi cm
this is the length for an arc of 360°  (full circumference)

now calculate the length for an arc of 120° (applying a rule of three)  
if 360°-----------------> 25.2*pi cm
 120°---------------> X
X=120*25.2*pi/360----------> 8.4*pi

the answer is 8.4*pi

Answer:

8.4 cm is the answer

Step-by-step explanation:

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