Question

a sector of a circle whose radius is 4 centimeters has a central angle of 30'. which of the following represents the area of this setor in square centimeters

Answer 1

Formula to find the area of the sector is:

$A=\frac{1}{2} r^{2} \theta$

Where r= radius and \theta= central angle.

Given, radius is 4 centimeters has a central angle of 30'.

So, we can plug in r=4 and \theta=30° in the above formula to get the area of circle. So,

$A=\frac{1}{2} *4^{2} *30$

A= 16*15

A= 240

So, the area of sector is 240 square centimeters.