Question

find the length of arc of sector of central angle thetha = 30° radius = 21 cm​

Answer 1

Answer:

11 cm

Step-by-step explanation:

radius of the circle (r) =21 cm

θ = 30 degree

length of an arc of a sector = θ/360 ⨯ 2πr

= 30/360 ⨯ 2⨯22/7⨯ 21

= 11 cm

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Answer 2

Answer:

115.5 cm²

Step-by-step explanation:

Given:

• Central angle = θ = 30°
• Radius = 21 cm

To find:

Length of arc = ?

Solution:

We know that:

$\maltese \: \: \boxed{\boldsymbol{Length \: of \: arc = \dfrac{\theta}{360}\times \pi r^{2}}}$

where:

• θ = 30°
• r = 21

So,

$\hookrightarrow \: \sf{Length \: of \: arc = \dfrac{30}{360}\times \dfrac{22}{7} \times 21 \times 21}$

$\implies \sf{Length \: of \: arc = \dfrac{30 \times 22 \times 21 \times 21}{360 \times 7}}$

$\implies \sf{Length \: of \: arc = \dfrac{11 \times 7 \times 3}{2}}$

$\therefore \boxed{\bf{Length \: of \: arc = 115.5 \: cm^{2}}}$