Question

The area of a sector of a circle is given by the equation uppercase A = StartFraction pi r squared uppercase S Over 360 EndFraction, 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?Which of the following equations is equivalent to S = pi r squared h?

Answer 1

A circle is a curve sketched out by a point moving in a plane. The equation that Mia will write is S = (360 × A)/(πR²).

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given the area of the sector of a circle is given by,

A = (πR²×S)/360°

Now, If Mia solved this equation for S, then the equation that she will write is,

S = (360 × A)/(πR²)

Hence, the equation that Mia will write is S = (360 × A)/(πR²).

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