Question

The area of a sector of a circle is given by the equation mc010-1.jpg, 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

Just took the quiz.

The answer is 360A/πr^2

Answer 2

Area of a sector is given by A= πr²S/360, Where r is the radius of the circle and S is the angle measure of the sector to the center,360 because the angle at a point (center of a circle) is always 360.
To find the angle S, we can change the formula by making S the subject of the formula.
Multiplying both sides by 360 we get; 360A=πr²S
Then dividing both side by πr²,
we get 360A/πr²=S
Therefore, the correct formula that Mia wrote was S=360A/πr²