Question

at The length of an are whic sbtends
an angle 120° at the centre of a
circle whose radius is 6cm is​

Answer 1

Length of arc=theta/360×2pi r

=120/360×2×22/7×6

=88/7

=12.57cm

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Answer 2

Given :-

length of arc ( radius ) = 6 cm

Angle that subtends = 120°

R.T.P :-

To find the area of sector.....

Proof :-

the formula for finding the area of sector is

$\frac{x}{360} \times \pi {r}^{2}$

Substitute x = 120° ; r = 6 cm ; π = 22/7 ,we get

$\frac{120}{360} \times \frac{22}{7} \times 6 \times 6$

By calculation, we get

$\frac{22 \times 2 \times 6}{7}$

Finally ,

$area \: of \: sector \: = 37.714 \: {cm}^{2}$

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