Question

Alice bakes a veggie pizza. She cut it into 10 slices. Find the arc length of one slice of her pizza if the pizza has a radius of 12 in. The central angle is 36 degrees.

a) 3.2 inches
b) 4.8 inches
c) 7.2 inches
d) 9.6 inches

Answer 1

To find the arc length of one slice of Alice's veggie pizza, use the formula: arc length = (central angle/360) x (circumference of the whole circle). Plug in the values to find the answer.

Step-by-step explanation:

To find the arc length of one slice of Alice's veggie pizza, we need to use the formula for arc length. The formula is given by:

arc length = (central angle/360) x (circumference of the whole circle)

Given that the central angle is 36 degrees and the radius of the pizza is 12 inches, we can calculate the circumference of the whole circle using the formula: circumference = 2 * pi * radius. Plugging in the values, we get:

circumference = 2 * 3.14 * 12 = 75.36 inches

Now, we can substitute the values into the arc length formula:

arc length = (36/360) x 75.36 = 7.536 inches

Therefore, the arc length of one slice of Alice's veggie pizza is approximately 7.2 inches (Option c).