Question

What is the circumference of the circle shown below, given that the length of

AB (the minor arc) is 4?
C
30,
A
A. 48
B. 40
C. 24
d
D. 12

someone pls help no links

Answer 1

Given:

Length of arc AB is 4 units.

The measure of central angle corresponding to arc AB is 30 degrees.

To find:

The circumference of the circle.

Solution:

The formula for arc length is:

`s=2\pi r(\theta )/(360^\circ)`

Where, r is the radius and
`\theta` is the central angle.

It is also written as:

`s=C(\theta )/(360^\circ)`

Where, C is the circumference of the circle.

Putting
`s=4,\theta =30^\circ` in the above formula, we get

`4=C(30^\circ)/(360^\circ)`

`4=(1)/(12)C`

Multiply both sides by 12.

`4* 12=C`

`48=C`

The circumference of the circle is 48 units.

Therefore, the correct option is A.