A piece of pizza with a diameter of 20 inches is eaten and m∠IPZ=45°. What is the perimeter of the piece of the pizza eaten in i

Question

3 years ago

14

nches?

1 answer:

insens350 [35] · Answer 1 · 2022-04-11T00:55:20+03:00

Answer:

Perimeter of pizza slice = 27.85 inches (Approx.)

Step-by-step explanation:

Given:

Diameter of pizza = 20 inches

So,

Radius of pizza slice = Diameter of pizza / 2

Radius of pizza slice = 20 / 2 = 10 inches

∠IPZ = 45°

Find:

Perimeter of pizza slice

Computation:

Perimeter of pizza slice = 2[Radius of pizza slice] + [θ/360][2πr]

Perimeter of pizza slice = 2[10] + [45/360][(2)(22/7)(10)]

Perimeter of pizza slice = 20 + [0.125][(2)(3.14)(10)]

Perimeter of pizza slice = 20 + [0.125][62.8]

Perimeter of pizza slice = 20 + 7.85

Perimeter of pizza slice = 27.85 inches (Approx.)