Find the area of the shaded region in the figure below, if the radius of the outer circle is 4 and the radius of the inner circl

Question

9 months ago

9

e is 2. Keep your answer in terms of π.

1 answer:

denis-greek [22] · Answer 1 · 2024-02-06T08:47:32+03:00

TheThe area of the shaded region if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.

<h3>Area of the shaded region</h3>

Area of a circle = πr²

r =radius of the circle

Area of the outer circle:

Area of the outer circle = π(4)²

Area of the outer circle = 16π

Area of the inner circle:

Area of the inner circle = π (2)²

Area of the inner circle = 4 π

Area of the shaded Region :

Area of the shaded Region = 16π - 4 π

Area of the shaded Region = 12π

Therefore the area of the shaded region if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.

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