Question

The radius of a circle is 3. What is the length of an arc that subtends an angle of 3π/10 radians?
Give the exact answer in simplest form.

Answer 1

Step-by-step explanation:

the whole circle arc is

2×pi×r

the angle of the whole circle is simply

2×pi (= 360°)

our angle is a part of the full circle angle : the 3pi/10 th part of 2×pi

so, the arc length is

2×pi×r × 3×pi/10/(2×pi) = 2×pi×r × 3×pi/(20×pi) =

= pi×r × 3/10 = pi×3 × 3/10 =

= pi × 9/10