The area of a sector of a circle is given by the equation, 3.142S/360 where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?

Given that the area of the sector is given by:

A=3.142r² S/360

where:

r is the radius

S is the angle measure of the sector

If Mia solved the equation for S, the equations that she wrote would be found as follows;

From A=3.142r² S/360

making S the subject by first dividing both sides by 3.142r^2 we shall have:

A/3.142r²=S/360

next we multiply both sides by 360

360*A/3.142r²=S/360*360

this will give us

(360A) / (3.142r²) = S

therefore the equation that Mia will get is:

S = (360A) / (3.142r²)