What is the radius of a circle in which a 30° arc is 2
inches long?
24 inches
o 12 inches
o 213 inches

The radius of the circle is 12 inches.

Step-by-step explanation:

Given:

The radius of a circle in which a 30°  arc is 2π.

Now, we put the formula of circumference first.

Now, since 30 is one twelfth of 360, a 30° arc will be one twelfth of the whole circumference. So, if you call the arc length A, you have:

So, we know the arc length, now we can put the value and solve the following equation:

Multiplying both sides by 6 and then dividing both sides by π we get :

.

Therefore, the radius of the circle is 12 inches.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.