Question-197196

Question Number 197196 by sonukgindia last updated on 10/Sep/23

Answered by mahdipoor last updated on 10/Sep/23

b l u e \equiv

π r^{2} (\frac{α_{1}}{360} + \frac{α_{2}}{360} + \frac{α_{3}}{360} \dots + \frac{α_{n}}{360})

o r a n g e \equiv

π r^{2} (\frac{360 - α_{1}}{360} + \frac{360 - α_{2}}{360} + \frac{360 - α_{3}}{360} \dots + \frac{360 - α_{n}}{360})

O - B = π r^{2} (n - 2 \frac{Σ α}{360}) = π r^{2} (n - 2 \frac{180 \times (n - 2)}{360})

= 2 π r^{2}