Question

. If the radius
of
a Sector is 21cm and
its central angle is 120 then find the
length of the arc

​

Answer 1

Answer:

Therefore, the length of the arc of the circle is 44 cm

Step-by-step explanation:

Answer 2

Explanation,

ㅤㅤㅤㅤㅤ

Given,

• Radius (r) of a sector is 21 cm.
• Central angel (Θ) = 120°

ㅤㅤㅤㅤㅤ

To Find,

• The length of an arc.

ㅤㅤㅤㅤㅤ

Solution,

ㅤㅤㅤㅤㅤ

We know that,

ㅤㅤㅤㅤㅤ

Length of an arc = Θ/360° × 2πr

ㅤㅤㅤㅤㅤ

[ Put the values ]

ㅤㅤㅤㅤㅤ

$\large\rightarrow \sf Length \: of \: an \: arc \: = \dfrac{120 \degree}{360 \degree} \times 2 \times \dfrac{22}{7} \times 21$

ㅤㅤㅤㅤㅤ

$\large\rightarrow \sf \: Length \: of \: an \: arc \: = \dfrac{12 \cancel0 \degree}{36 \cancel0 \degree} \times 2 \times \dfrac{22}{ \cancel7} \times \cancel{ 21}$

ㅤㅤㅤㅤㅤ

$\large\rightarrow \sf Length \: of \: an \: arc \: = \dfrac{1}{3} \times 2 \times 22 \times 3$

ㅤㅤㅤㅤㅤ

$\large\rightarrow \sf Length \: of \: an \: arc \: = \dfrac{2 \times 22 \times \cancel3}{ \cancel3}$

ㅤㅤㅤㅤㅤ

$\large\rightarrow \sf Length \: of \: an \: arc \: = 2 \times 22$

ㅤㅤㅤㅤㅤ

$\large\rightarrow{ \underline { \boxed{\sf Length \: of \: an \: arc \: = 44cm}}} \bigstar$

ㅤㅤㅤㅤㅤ

Therefore,

ㅤㅤㅤㅤㅤ

The length of an arc is 44 cm.