Question

A circle has central angle with an angle measure of 2 rad and a radius with a length of 5.7. Determine the length of the arc subtended by this angle. Record answer to the nearest tenth.

Answer 1

Answer:

Step-by-step explanation:

A circle has central angle with an angle measure of 2 rad. We would convert from rad to degrees.

1 rad = 57.296 degrees

2 rads = 2×57.296 = 114.592 degrees.

The radius of the circle is 5.7

To determine the length of the arc subtended by this angle, we would apply the formula,

Length of arc = #/360 × 2πr

r = radius of circle = 5.7

π = constant = 3.14

Length of arc = 114.952 /360 × 2× 3.14 ×5.7 = 11.39