Determine the angle at the centre of a circle with radius 6.0 cm for an arc length of 8.0 cm. 3/4 radians 2/3 radians 4/3 radians 4π/3 radians

Question

asked May 25, 2020 164k views

1 Answer

David Urry · Answer 1 · 2020-05-30T20:19:59+0000

Answer:

Third option.

Explanation:

You need to remember that the formula used to calculate the arc lenght is:

$arc\ length=r C$

Where "r" is the radius and "C" is the central angle in radians.

You need to solve for "C":

$C=(arc\ length)/(r)$

You know the radius and the arc lenght, therefore, you can substitute values to calculate the central angle in radians. Therefore, this is:

C=(8.0cm)/(6.0cm)

C=(4)/(3)radians