Question

Pls help I couldn't do it



Find the measure of angle subtended at any point on circle's circumference if the central angle is 150 degrees.​

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

=

360

150

×2×

7

22

×21

=55 cm

now, the area of sector would

360

∘

θ

×πr

2

=

360

150

×

7

22

×21×21

=577.5 cm

2

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

Answer 2

Answer:

angle subtended is always double of the number = 150 double = 300

Step-by-step explanation: