Question

What is the length of an arc of a circle, whose sector is in the angle 30°

Answer 1

AnsWer :

3.67 Cm.

Correct QuestioN :

What is the length of an arc of a circle, whose sector is in the angle 30° and radius is 7 cm.

To FinD :

The Length of an Arc.

SolutioN :

We have,

• Angle Sector 30°

$\tt \dagger \: \: \: \: \: \dfrac{ \theta}{360} \times 2 \pi r.$

$\tt : \implies \dfrac{ 30}{360} \times 2 \times \dfrac{22}{7} \times 7.$

$\tt : \implies \dfrac{ \cancel{30}} { \cancel{360}} \times 2 \times \dfrac{22}{ \cancel7} \times \cancel7.$

$\tt : \implies \dfrac{ 1}{12} \times 2 \times 22$

$\tt : \implies \dfrac{ 22}{6} \: cm.$

✡ Therefore, the value of Length is 3.67 Cm.

More Information :

• Circumference of a circle = 2πr.
• Area of Circle = πr².
• π = 22 / 7 ( Note )