Question

Which explanation justifies how the area of a sector of a circle is derived?.

Answer 1

The area of a sector is part of an area of the entire circle. Determine the fraction of the circle that the sector represents and multiply it by the area of the circle.

Explanation:

Answer 2

Explanation:

We know the area of a circle is

`\pi {r}^(2)`

That is when the cricle is 360 degrees full, so another formula is

`(360)/(360) \pi {r}^(2)`

If we the find the area of the sector with angle x, then that formula will be

`(x)/(360) {\pi}r^(2)`