Question-98560

Question Number 98560 by I want to learn more last updated on 14/Jun/20

Commented by I want to learn more last updated on 14/Jun/20

Find the shaded area .

Answered by HamraboyevFarruxjon last updated on 14/Jun/20

S (r o m b) = a^{2} \times s i n α = 81 \times s i n 70 °

S (s e c t o r) = \frac{70 °}{360 °} \times π \times 9^{2} = \frac{63 π}{4}

S (s h a d e d) = S (r o m b) - S (s e c t o r) =

= 81 s i n 70 ° - \frac{63 π}{4} \approx 26, 63

Answered by mr W last updated on 14/Jun/20

r = 9 c m

θ = 70 ° = \frac{7 π}{18}

A_{s h a d e d} = r^{2} (\sin θ - \frac{θ}{2}) = 9^{2} (\sin \frac{7 π}{18} - \frac{7 π}{36})

= 26.636 {c m}^{2}

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