If r= 1 and 0 = 5 pie/4, what is the approximate arc length? A. 1.25 units
B. 4.189 units
C. 3.927 units
D. 3.665 units

9514 1404 393

  C.  3.927 units

Step-by-step explanation:

The arc length (s) is given by ...

  s = r·θ

  s = 1·5π/4 ≈ 3.92699

  s ≈ 3.927 . . . units

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.