Question

In circle R with mZQRS = 66 and QR = 4 units find area of sector QRS. Round
to the nearest hundredth.​

Answer 1

Answer:

$A_s=9.22\ units^2$

Step-by-step explanation:

Area of a Circular Sector

A circular sector is a shape formed by two radios and the part of the circumference they define. A central angle $\theta$ (in radians) is formed and the area of the sector is given by

$\displaystyle A_s=\frac{1}{2}\theta\cdot r^2$

The dimensions provided in the questions are

$\theta=66^o$

$r=4\ units$

Converting the angle to radians

$\theta=66\cdot \pi/180=1.152\ rad$

Now we compute the area

$\displaystyle A_s=\frac{1}{2}\cdot 1.152\cdot 4^2$

$A_s=9.22\ units^2$