What will be the length of a quarter circle with the same radius (Refer given Figure)? Class 9

What will be the length of a quarter circle with the same radius (Refer given Figure)? Class 9

Question 1.

What will be the length of a quarter circle with the same radius (Refer given Figure)? Class 9

Answer:

The circumference of a full circle = 2πr

A quarter circle is one-forth of a circle,

So its length will be = $\frac{1}{4}$ × 2πr = $\frac{\pi r}{2}$

Length of arc of a circle AB (s)

2πr × $\frac{\theta^{\circ}}{360^{\circ}}$

θ = central angle (in degrees)

r = radius of the circle