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In circle M with m \angle LMN= 82m∠LMN=82 and LM=9LM=9 units find area of sector LMN.

In circle M with m angle LMN 82mLMN82 and LM9LM9 units find area of sector LMN class=

Respuesta :

MrYums

Answer:

369/2pi

Step-by-step explanation:

81pi=area of whole circle (pi*r^2)

LMN=82

Area of LMN= 41/180*area of circle

41/180*81pi=

369/2 pi

jaimitoM

We know that the area of a sector is given by:

[tex]A = \dfrac{\pi r^2\alpha}{360}[/tex]

Where α is the angle in degrees and r is the radius. We have:

  • r = 9
  • α = 82°

Evaluating:

[tex]A = \dfrac{\pi r^2\alpha}{360} = \dfrac{\pi(9)^2\cdot 82}{360} = 57.96\ u^2[/tex]

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