Question

Derive the formula of Area of sector?

NO SPAM ​

Answer 1

Given:-

A circle with radius r and central angle θ.

To find:-

Derive the formula of area of sector.

Derivation:-

We have, central angle = θ and radius = r

$area \: of\: circle = \pi {r}^{2}$

Now, if wr have to find the area of a sector, we find the ratio of the given angle with complete angle i.e. 360°

.°. the ratio of angle = θ/360°

Therefore, the area of the required part of the circle

$= \frac{θ}{360} \times \pi {r}^{2}$

Hence, the formula for area of sector is

$\frac{θ}{360} \pi {r}^{2}$

Answer 2

Answer:

In a circle with centre O and radius r, let OPAQ be a sector and θ (in degrees) be the angle of the sector. Area of the circular region is πr². Let this region be a sector forming an angle of 360° at the centre O. Then, the area of a sector of circle formula is calculated using the unitary method.

Step-by-step explanation:

Please mark me as brainliest