contestada

A circle with area 81ㅠ has a sector with a central angle of 120°.

What is the area of the sector?

Either enter an exact answer in terms ofㅠ or use 3.14 forㅠ and enter your answer as a decimal.

Respuesta :

gmany

Answer:

84.78

Step-by-step explanation:

We have the area of a circle

[tex]A_O=81\pi[/tex]

The sector with a central angle of

[tex]120^o[/tex]

Calculate, what part of 360° is an angle 120°:

[tex]\dfrac{120^o}{360^o}=\dfrac{1}{3}[/tex]

The same part of an area of a circle is an area of a segment.

Therefore:

[tex]A_S=\dfrac{1}{3}\cdot81\pi=27\pi[/tex]

Use π ≈ 3.14

[tex]A_S\approx(27)(3.14)=84.78[/tex]

Otras preguntas