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

Question

asked Sep 27, 2022 180k views

1 Answer

Hunt · Answer 1 · 2022-10-03T08:18:04+0000

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.