Respuesta :

carlosego

Answer: 0.8 radians

Step-by-step explanation:

To solve this exercise you must apply the formula shown below:

[tex]S=r\theta[/tex]

Where S is the arc lenght, r is the radius of the circle and [tex]\theta[/tex] is the central angle in radians.

Solve for the central angle:

[tex]\theta=\frac{S}{r}[/tex]

Now, when you susbtitute the value of the arc length and the radius, you obtain that the central angle is:

[tex]\theta=\frac{7.2cm}{9cm}=0.8radians[/tex]

zainebamir540

Answer:

Ф  = 0.8 radians.

Step-by-step explanation:

We have given radius= 9 cm and intercepted arc length= 7.2 cm of a circle.

We have to find the central angle of a circle in radians.

As we know that :

l = rФ     where r is a radius, l is a arc length, Ф is the angle of circle.

Ф  = l ÷ r

Ф  = 7.2cm / 9cm

Ф  = 0.8 radians.

Ф  = 0.8 radians is the  central angle of a circle.

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