Question

What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm

Answer 1

Ф = 0.8 radians.

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.

Answer 2

Answer: 0.8 radians

Explanation:

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

`S=r\theta`

Where S is the arc lenght, r is the radius of the circle and
`\theta` is the central angle in radians.

Solve for the central angle:

`\theta=(S)/(r)`

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

`\theta=(7.2cm)/(9cm)=0.8radians`