Question

The degree measure of the angle at the centre of a circle is theta. The length of an arc of the
sector is ?? ( Where r is the radius of the circle)​

Answer 1

Answer:

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Answer 2

Given:

Arc which subtends angle Φ at centre of circle.

To Find:

Length of arc

Solution:

The angle at the centre is 360

The perimeter of circle is 2πr

⇒ The arc will divide circumference into ( Φ/ 180 ) parts.

so, the length of arc will be

⇒ ( Φ/ 360 ) × 2πr

⇒  ( Φ/ 180 ) × πr

Hence, the length of arc will be ( Φ/ 180 ) × πr.