Chapter 3 - Section 3.4 - Arc Length and Area of a Sector - 3.4 Problem Set - Page 155: 52

$4\ inch^2$

Given Length of the arc (L) = 4 inches given the angle $(\theta)$= 2 radians formula for the length of the arc is $L=r\theta$ $4 = r (2)$ $r=\frac{4}{2}= 2\ inches$ Area of the sector is $A =\frac{1}{2}r^{2}\theta$ $A=\frac{1}{2}(2)^2(2)$ $A=4\ inch^2$