What is the area of the sector? Leave you answer in terms of Pi. (ignore the inputted answer as it is wrong)

Given:

The radius of the circle is 4 cm.

The central angle is 120°

We need to determine the area of the sector.

Area of the sector:

The area of the sector can be determined using the formula,

Substituting and r = 4 cm, we get;

Simplifying, we get;

Thus, the area of the sector is 5.33π cm²

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.