Question

In a circle with a radius of 8ft an arc is intercepted by a central angle of 135 degrees. What is the length of the arc?

A: 6.28 ft
B: 9.42 ft
C: 18.84 ft
D: 28.26 ft

Answer 1

Greetings from Brasil...

We know that the entire length of a circle its:

C = 2πR

C = 2π8

C= 16π      circumference length

now rule of 3:

 length              º

  16π   ---------  360

     X   ---------  135

360X = 135 · 16π

X = 2160π/360

X = 6π or 18,84