Circle O has radius of 24 units. Arc XY located on the circle has a central angle of 75 degrees. What is the area of the associated sector, in square units?

Circle O has radius of 24 units Arc XY located on the circle has a central angle of 75 degrees What is the area of the associated sector in square units class=

Respuesta :

The area of the associated sector is: 120π

What is a sector?

A sector is the portion of the area of a circle surrounded by an arc and two radii.

Analysis:

Area of a sector = ∅/360 x π[tex]r^{2}[/tex]

∅ = 75°

r = 24 units

Area of sector = 75/360 x π[tex](24)^{2}[/tex] = 120[tex]\pi[/tex] square units

In conclusion, the area of the associated sector is 120π square units

Learn more about sector : brainly.com/question/22972014

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