A circle has a radius of \blue{4}4start color #6495ed, 4, end color #6495ed. An arc in this circle has a central angle of 288^\circ288 ∘ 288, degrees. What is the length of the arc?

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)

d

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)