Question

A circle with circumference 18 has an arc with a 120? central angle. What is the length of the arc?

Answer 1

$(angle \div 360) \times \pi { d}$

120/360 ×( pi × diameter )

Answer 2

Answer:

Arc length of circle with circumference 18 and an arc with a 120° central angle is:

6

Step-by-step explanation:

The arc length of a cicle is given by:

$2\pi r\times \dfrac{\theta}{360\°}$

Here, circumference=18

i.e. 2πr=18

and $\theta=120\°$

Arc length=

$18\times \dfrac{120\°}{360\°}\\ \\=6$

Hence, Arc length of circle with circumference 18 and an arc with a 120° central angle is:

6