Find the area of the Sector of a Circle with Radius 4 cm and Angle 30^0. Also, Find the Area of the Corresponding major Sector. (pi= 3.14) | Bzziii.com

Find the area of the sector of a circle with radius 4 cm and angle `30^0`. Also, find the area of the corresponding major sector. (`\pi`= 3.14)

Here,

Radius (r) = 4 cm

`\theta` = `30^0`

Now,

Area of sector = `\frac{\theta}{360} \times \pi r^2`

= `30/360` ` \times` 3.14 ` \times` `(4)^2`

= `1/12` ` \times` 3.14 ` \times` 4 ` \times` 4

= `1/3` ` \times` 3.14 ` \times` 4

= `12.56/3` `"cm"^2`

= 4.19 `"cm"^2`

Now, Area of major sector

= `\frac{(360 - \theta)}{360} \times \pi r^2`

= `\frac{(360 - 30)}{360} \times 3.14 \times 4^2`

= `\frac{(330)}{360} \times` 3.14 `\times` 4 `\times` 4

= `11/12` `\times` 3.14 `\times` 4 `\times` 4

= 46.05 `"cm"^2`

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Class-10 SEBA
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