Question

find the area off the sector of circle with radius 4 cm and the angle 30° the find the area of corresponding major sector​

Answer 1

Given;

⇒Radius of circle 4cm

⇒angle(Ф) = 30°

Formula;

⇒Area of sector circle = (Ф/360°)×πr²

Put the value on formula

⇒(30/360)×3.14×4×4

⇒(1/12)×50.24

⇒50.24/12

⇒4.18cm²

Now we have to find Area Major sector , so we use this formula

⇒Area of major sector = Area of circle - area of minor sector

⇒Area of major sector =πr² -   (Ф/360°)×πr²

We have already find the area of minor sector , so put the value

⇒Area of major sector = 3.414 × 4 × 4 -   4.18

⇒Area of major sector = 54.624 - 4.18 = 50.44cm²

Answer 2

Answer:

Given :-

• Radius of circle = 4 cm
• Angle ∅ = 30⁰

To Find :-

Area of major sector

Solution :-

We know that

$\sf \: Area \: of \: sector \: = \dfrac{ \theta}{360} \times \pi {r}^{2}$

θ = Angle

Here,

Angle is 30⁰

So,

⟹ 30/360 × 22/7(4)²

⟹ 3/36 × 22/7 × 4 × 4

⟹ 1/12 × 22/7 × 16

⟹ 22/84 × 16

⟹ 4.19 cm

Now,

Area of major sector = Area of circle - Area of smaller circle

⟹ πr² - 4.19

⟹ 3.14 × (4)² - 4.19

⟹ 3.14 × 16 - 4.19

⟹ 50.24 - 4.19

⟹ Area of major sector ≈ 46.05 cm