If the radius of the circle is 42 cm and the angle formed at the centre by an are is 150o. What is the length of the corresponding are?
Answer & explanation
Correct answer: option 3
We know that,
Length of the arc (l) = 2πr × \(\frac{ θ }{360}\)
We have,
The angle formed by arc at the centre = 150°
Radius of the circle (r) = 42 cm
Length of the arc = 2π × 42 × \(\frac{ θ }{360}\)
= 2 × \(\frac{ 22 }{7}\) × 42 × \(\frac{ 5 }{12}\) = 22 × 5 = 110 cm