Question

A circle has a circumference of \blue{12}12start color #6495ed, 12, end color #6495ed. It has an arc of length \dfrac{8}{5} 5 8 ​ start fraction, 8, divided by, 5, end fraction. What is the central angle of the arc, in degrees? ^\circ ∘ degrees

Answer 1

Answer:

Step-by-step explanation:

its 11

Answer 2

Answer:

Therefore,

The Central Angle is 48°.

Step-by-step explanation:

Given:

Circumference = 12 units

$Arc\ length = \dfrac{8}{5}= 1.6\ unit$

To Find:

Central angle = θ = ?

Solution:

If "θ" the central angle is in degree then arc of length is given by

$Arc\ length = \dfrac{\theta}{360}\times Circumference$

Substituting the values we get

$1.6 = \dfrac{\theta}{360}\times 12\\\\\theta = 48\°$

Therefore,

The Central Angle is 48°.