Respuesta :

Answer:

136112 [tex]cm^{2}[/tex]

Step-by-step explanation:

since the outer circle is 25cm wider on one side, the radius of outer circle is 25 cm wider. (imagine rotating the green line to match with the pink line, you'll see the outer circle radius more clearly)

r of inside circle = 148.4/2 = 74.2

r of outside circle = 74.2 +25 = 99.2

the shaded region = A of outer circle - A of inner circle

=3.14(99.2)^2 - 3.14(74.2)^2

area of a circle is [tex]\pi r^{2}[/tex], I plugged in known values above^.

= 30899.6096 - 17287.7096 = 13611.9 (I definitely recommend a calculator)

rounded to nearest whole number = 13612

Answer: Area of the shaded region is 13611.9 cm²

Step-by-step explanation:

The area of the shaded region is the area of the outer circle - the area of the inner circle.

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 inner circle,

diameter = 148.4 cm

Radius = diameter/2 = 148.4/2 = 74.2 cm

Area = 3.14 × 74.2² = 17287.7096cm²

Considering the outer circle,

diameter = 148.4 + 25 + 25 = 198.4 cm

Radius = 198.4/2 = 99.2 cm

Area = 3.14 × 99.2² = 30899.6096cm²

Area of the shaded region is

30899.6096 - 17287.7096 = 13611.9 cm²

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