Question

if the length of the shorter arc AB=12 cm, what will be the circumference of the circle?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Circumference of the circle is 96 cm.

Step-by-step explanation:

Given:

Length of minor arc = 12 cm

Angle subtended by Minor arc at center = 45°

To find: Circumference of the circle.

We use the formula of length of the arc,

$length\;of\:arc=\frac{\theta}{360}\times2\pi r$

where $\theta$ is angle subtended by arc and r is the radius of the circle. and 2πr is circumference of the circle

According tot the question,

$\frac{45}{360}\times2\pi r=12$

$\frac{1}{8}\times2\pi r=12$

$2\pi r=12\times8$

$2\pi r=96$

Therefore, Circumference of the circle is 96 cm.