Question

If the radius of a circle is 4 cm and the sector angle is 30°, then the area of
the sector is​

Answer 1

Answer :-

Area of the sector is 4.19 cm².

Explanation :-

Radius of a circle (r) = 4 cm

Angle of the sector (x°) = 30°

We know that

Area of the sector = (x°/360°) * πr²

By substituting the given values

= (30/360) * 3.14 * 4²

[ ∵ π ≈ 3.14]

= (3/36) * 3.14 * 16

= (1/12) * 3.14 * 16

= (1/3) * 3.14 * 4

= 12.56/3

= 1256/300

= 4.1866..

≈ 4.19

∴ the area of the sector is 4.19 cm².

Answer 2

Answer:-

4.2 sq.cm

Explanation:-

Given:

• radius(r) = 4cm
• Angle (x) = 30°

To Find:

Area of Sector

Solution:

W.k.t

$\boxed{Area \: of \: Sector = \dfrac{x}{360}\pi {r}^{2}}$

$\mathsf{Area \: of \:Sector = \dfrac{30}{360}\times \dfrac{22}{7}{(4)}^{2}}$

$\mathsf{Area\:of \:Sector = \dfrac{1}{12}\times \dfrac{22}{7}(16)}$

$\mathsf{Area \:of \:Sector = \dfrac{352}{84}}$

$\mathsf{Area \: of\: Sector = 4.2 sq.cm.}$

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