Question

Radius of a sector of a circle is 7 cm. If measure of arc of the sector is -
(1) 30°
(2) 210°
(3 ) three right angles; find the area of the sector in each case.

Answer 1

Area of sector =
$\frac{\pi {r}^{2} \theta }{360 \degree}$
where, theta = Angle of sector
r = radius of sector = 7 cm


1)
$\theta = 30 \degree$
Area of sector,
$= \frac{\pi {r}^{2} }{360 \degree} \times 30 \degree \\ = \frac{\pi {7}^{2} }{12} = \frac{49\pi}{12} {cm}^{2}$

2)
$\theta = 210 \degree$
Area of sector =
$\frac{\pi \times {7}^{2} \times 210 \degree }{360 \degree} = \frac{343\pi}{12} {cm}^{2}$

3) Angle of sector,
$\theta \: = 90 \times 3 = 270 \degree$
Area of sector,
$= \frac{\pi \times {7}^{2} \times 270 \degree}{360 \degree} \\ = \frac{147\pi}{4} {cm}^{2}$

Answer 2

Answer:

Step-by-step explanation: