Question

Please help!!!
What is the area of , given that θ=π/3 radians? Express your answer in terms of π and as a decimal rounded to the nearest tenth. Show all your work.

Answer 1

Answer:

A = 1.5 π in² ≈ 4.7 in²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × $\frac{\frac{\pi }{3} }{2\pi }$

  = π × 3² × $\frac{1}{6}$

  = 9π × $\frac{1}{6}$

  =  1.5π in²

  ≈ 4.7 in² ( to the nearest tenth )