Question

I need to find the angle of a sector of a circle when the arc length is 9pi/8 and the radius is 4.5, please help me!!

Answer 1

The angle of a sector of a circle is or $0.25 \pi$ or  0.785 radians

Solution:

The arc length when angle in radians is given by formula:

$s = r \times \theta$

Where,

r is the radius

From given,

$r = 4.5\\\\s = \frac{9 \pi }{8}$

Substituting the values we get,

$\frac{9 \pi }{8} = 4.5 \times \theta\\\\\theta = \frac{9 \pi }{8 \times 4.5}\\\\\theta = 0.25 \pi$

Thus angle of a sector of a circle is or $0.25 \pi$ or 0.785 radians