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 associa

Question

2 years ago

8

ted sector, in square units?

1 answer:

elena-s [515] · Answer 1 · 2023-05-25T18:56:04+03:00

The area of the associated sector is: 120π

<h3>What is a sector?</h3>

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 $r^{2}$

∅ = 75°

r = 24 units

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

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

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