Question

if the measurement of the central angle is 150 degree what is the measurement of the corresponding angle​

Answer 1

Answer:

The length of an arch is 55 cm and area of sector is 577.5 sq. cm.

Step-by-step explanation:

Since we have given that

Measure of central angle = 150°

Radius of circle = 21 cm

So, the length of an arc would be

\begin{gathered}\dfrac{\theta}{360^\circ}\times 2\pi r\\\\=\dfrac{150}{360}\times 2\times \dfrac{22}{7}\times 21\\\\=55\ cm\end{gathered}360∘θ×2πr=360150×2×722×21=55 cm

now, the area of sector would be

\begin{gathered}\dfrac{\theta}{360^\circ}\times \pi r^2\\\\=\dfrac{150}{360}\times \dfrac{22}{7}\times 21\times 21\\\\=577.5\ cm^2\end{gathered}360∘θ×πr2=360150×722×21×21=577.5 cm2

Hence, the length of an arch is 55 cm and area of sector is 577.5 sq. cm.

# learn more:

Find the area of a sector of a circle and length of minor arc of radius 21 cm and central angle 120 degree

Step-by-step explanation:

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