Question

a circle has a radius of 4 and an arc in this circle has an central angle of 288 what is the length of the arc

Answer 1

Answer:

The arc is formed on the circle.

 

The proportion of the length of the arc, x, to the circumference of the circle will be equal to the proportion of the central angle it faces to 360 degrees. Then, we can write

 

x                      288

------------ =  ----------

2*3.14*4          360

 

360x = 288*2*3.14*4

x = 20.1 units (rounded to the nearest tenth)

Step-by-step explanation:

Answer 2

Given:

• Radius of circle$(R) = 4cm$

• Central angle $(\theta) = 288^\circ$

To Find:

• Length of an arc $(l)$

Solution:

      Length of an arc is given by,

              $l=\frac{\pi R \theta}{180}$

      Putting the all values given above,

              $l=\frac{\pi \times 4\times 288}{180}$

             $(l) = 6.4\pi$

So, the length of the arc is $6.4\pi cm$