Question

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?

Answer 1

C.

Explanation:

Answer 2

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)