Question

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

Answer 1

369/2pi

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

Answer 2

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

`A = (\pi r^2\alpha)/(360)`

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

• r = 9
• α = 82°

Evaluating:

`A = (\pi r^2\alpha)/(360) = (\pi(9)^2\cdot 82)/(360) = 57.96\ u^2`