Question

The angle subtended by an arc at the centre of a circle is 70°. If the circumference of the
circle is 132 cm, then find the area of the sector formed.
CA) 269.5 cm2 (B) 1078 cm2 ( 539 cm (D) 1617 cm?​

Answer 1

Answer:

A) 269.5 cm²

Hope this may help you!!!!

Answer 2

Answer:

(A) 269.5 cm²

Step-by-step explanation:

$\quad \quad \: 2\pi{r} \: = \: 132 \: cm \\ \implies \: r \: = \: \frac{132}{2\pi} cm \\ \\ area \: = \: \frac{1}{2}\theta{{r}^{2}} \: (angle \: in \: radian) \\ \therefore \: area \: = \: \frac{1}{2} \times \frac{70\pi}{180} \times \left({ \frac{132}{2\pi} } \right)^{2} \\ \qquad \quad \: \: \: = \: \frac{1}{2} \times \frac{7}{18} \times \frac{ {132}^{2} }{4\pi} \\ \qquad \quad \: \: \: = \frac{1}{2}\times\frac{7}{18} \times \frac{ {132}^{2} }{4} \times \frac{7}{22} \\ \qquad \quad \: \: \: = 269.5 \: {cm}^{2}$