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

- Determine how many triangles can fit into a circle. Divide 360° by the number of triangles. Multiply the quotient by ​the area of the circle​ .

- Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply ​the area of the circle​ by this fraction.

- Partition the circle into unit squares. Determine the area of the sector and multiply the area by the degree of the circle.

- Determine the degree of the sector. Divide by 180° and then multiply it by the area of the triangle the sector is in.

Respuesta :

the answer is option B

hope it helps!!

The statement that justifies how the area of a sector of a circle is derived is:

  • Calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply ​the area of the circle​ by this fraction.

What is an area?

This refers to the quantity that expresses the extent of a region on the plane such as on a curved surface.

Furthermore, the area of sector of a circle is talking about the amount of space enclosed within the boundary of the sector.

Generally, it is explained in step that we first calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply ​the area of the circle​ by this fraction.

Therefore, the Option B is correct.

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