Question

) 3. The area of a sector of a circle of radius 10 cm
is 157 cm. Find the angle contained by the
sector.​

Answer 1

Step-by-step explanation:

I Final Answer : Angle of sector: 150\degree150°

Length of arc of sector: 5πcm

Steps:

1) Area of sector : 15\pi cm^{2}15πcm

2

Radius ,r = 6 cm

We know that ,

Area of sector :

\begin{gathered}\frac{\pi r^{2}\theta}{360\degree} = 15\pi \\ \\ =\ \textgreater \ \frac{6^{2} *\theta}{360} = 15 \\ \\ =\ \textgreater \ \theta = 150\degree\end{gathered}

360°

πr

2

θ

=15π

= \textgreater

360

6

2

∗θ

=15

= \textgreater θ=150°

2) Length of arc,

\begin{gathered}l= \frac{\pi*r*\theta}{180\degree} \\ \\ l = \frac{\pi*6* 150\degree }{180\degree} \\ \\ =\ \textgreater \ l = 5\pi cm\end{gathered}

l=

180°

π∗r∗θ

l=

180°

π∗6∗150°

= \textgreater l=5πcm

Answer 2

thx for free points brooo