Question

The circumference of a circle is 168cm.If the sectorial angles of a sector of the circle is 120°.what is the length of arc of the sector?​

Answer 1

Given that:

• The circumference of a circle is 168 cm.
• The sectorial angles of a sector of the circle is 120°.

To Find:

• What is the length of arc of the sector?

Formula used:

• L = (θ•2πR)/360°

Where,

• R = Radius of a circle
• L = Length of arc of a sector
• θ = Sectorial angle

We know that:

• Circumference of a circle = 2πR
• So, 2πR = 168 cm

Finding the length of arc of the sector:

↣ L = (θ•2πR)/360°

↣ L = (120° × 168)/360°

↣ L = 168/3

↣ L = 56

Hence,

• The length of arc of the sector is 56 cm.

Answer 2

Given:-

• The circumference of a circle is 168cm.
• The sectorial angles of a sector of the circle is 120°.

To Find:-

• The length of arc of the sector?

Formula used:-

• L = (θ•2πR)/360°

We know that:-

• Circumference of a circle = 2πR
• So, 2πR = 168 cm

Finding the length of arc of the sector:

L = (θ•2πR)/360°

L = (θ•2πR)/360° L = (120° × 168)/360°

L = (θ•2πR)/360° L = (120° × 168)/360°

L = 168/3

L = (θ•2πR)/360° L = (120° × 168)/360°

L = 168/3 L = 56

Therefore,

• The length of arc of the sector is 56 cm.