Question

Ayudenme en estos ejercicios porfavor les doy corona

Answer 1

PROBLEMA 1

Área del Sector Circular

$A = \frac{1}{2} \times \frac{\pi}{3} \times ( \sqrt{6} ) {}^{2} \\ A = \frac{\pi}{6} \times 6 \\ A = \pi$

PROBLEMA 2

Cambiamos los 30° a radianes

$30 \times \frac{\pi}{180} = \frac{\pi}{6} \: rad$

Sector Circular COD

$L(cd) = \frac{\pi}{6} \times 6 = \pi$

Sector Circular AOB

$L(ab) = \frac{\pi}{6} \times 18 = 3\pi$

Perímetro del Trapecio Circular BDCA

$P = \pi + 12 + 3\pi + 12 \\ P = 4\pi + 24$

PROBLEMA 3

Cambiamos los 20° a radianes

$20 \times \frac{\pi}{180} = \frac{\pi}{9} \: rad$

Ahora hallamos el Larco

$L = \frac{\pi}{9} \times 18 \\ L = 2\pi$