Question

NEED ANSWER ASAP MARKING BRAINLIEST

Answer 1

Answer:

The length of AB is 10π units .

Step-by-step explanation:

Firstly, you have to convert degrees into radian by using the formula :

$rad = \frac{θ}{180} \times \pi$

Let θ = 150°

$\frac{150}{180} \times \pi$

$= \frac{5}{6} \pi$

Next, you have to use the length of arc formula for radian where s is the length and r is the radius :

$s = rθ$

Let r = 12 units,

Let θ = (5/6)π rad,

$s = 12 \times \frac{5}{6} \pi$

$s = 10\pi \: units$

Answer 2

Answer:

AB = 10π

Step-by-step explanation:

The length of the arc is calculated as

arc = circumference of circle × fraction of circle

      = 2πr × $\frac{150}{360}$

      = 2π × 12 × $\frac{5}{12}$ ← cancel 12 on numerator/ denominator, leaving

AB = 2π × 5 = 10π