Question

In a circle of radius 14cm
an angle of 30° at the centre
are sublends
Length of arc is​

Answer 1

Given,

• Radius of circle (r) = 14 cm
• Angle (θ) = 30°

To Find,

• The length of arc.

According to the question,

Let, circumference of circle be "R".

We know that,

Circumference of circle = 2πr

[ Put the values ]

⇢ R = 2 × 22/7 × 14

⇢ R = 2 × 22 × 2

⇢ R = 44 × 2

⇢ R = 88 cm

.°. Circumference of circle = 88 cm

Now,

We ask to find "Length of arc".

Let, length of arc be "S".

We know that,

Length of arc = θ/360° × 2πr

[ Put the values ]

⇢ S = 30/360 × 88

⇢ S = 3/36 × 88

⇢ S = 3 × 2.4

⇢ S = 7.2 cm

Therefore,

The length of arc is 7.2 cm.