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Circle N is shown. Line segment M L is a diameter. The length of N L is 6. Everything above angle M N L is shaded. The measure of central angle MNL is π radians, and the measure of the entire circle is 2π radians. The ratio of the measure of the central angle to the entire circle measure is . The area of the entire circle is π units2. The area of the sector is π units2.

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Answer:

The ratio of the measure of the central angle to the entire circle measure[tex]=\dfrac{1}{2}[/tex]

The area of the entire circle[tex]=36\pi$ units^2.[/tex]

The area of the sector [tex]=18\pi $ units^2[/tex]

Step-by-step explanation:

MNL is a diameter of the circle N

Radius, NL =6

  • The measure of central angle MNL = π radians
  • The measure of the entire circle = 2π radians.

The ratio of the measure of the central angle to the entire circle measure

[tex]=\dfrac{\pi}{2\pi}\\\\ =\dfrac{1}{2}[/tex]

Area of a circle [tex]=\pi r^2[/tex]

The area of the entire circle

[tex]= \pi \times 6^2 \\=36\pi$ units^2.[/tex]

Therefore, the area of the sector

[tex]=\dfrac{1}{2} \times 36\pi\\=18\pi $ units^2[/tex]

aliscraii

Answer:

1/2, 36, 18

Step-by-step explanation:

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