Respuesta :

joseaaronlara

Answer:

The answer to your question is 4317.50 mm²

Step-by-step explanation:

Data

radius of the big circle = 25 + 15 = 40 mm

radius of the small circle = 15 mm

Formula

Area = πr²

Process

1.- Calculate the area of the big circle

Area 1 = (3.14)(40)²

Area 1 =5024 mm²

2.- Calculate the are of the small circle

Area 2 = (3.14)(15)²

Area 2 = 706.5 mm²

3.- Subtract both areas

Area of the shaded region = 5024 - 706.5

                                             = 4317.50 mm²

Answer: 4318 square mm to the nearest whole number.

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the smaller circle,

Radius = 15 mm

Area = 3.14 × 15² = 706.5 square mm

Considering the larger circle,

Radius = 15 + 25 = 40 mm

Area = 3.14 × 40² = 5024 square mm

Area of shaded region region = area of larger circle - area of smaller circle. It becomes

5024 - 706.5 = 4317.5 square mm