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a 3 cm x 10 cm rectangle sits inside a circle with radius of 12 cm what is the area of the shaded region

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Answer:

Step-by-step explanation:

Since the rectangle sits within the larger circle, let's look at it this way:

Area of Shaded Region = Area of Circle - Area of Rectangle

OR

(X) =( pi * r^2 ) - (rectangle length * rectangle width)

Now we fill in the numbers where we know the numbers:

(X) = (pi * (12 cm)^2) - (3cm * 10cm)

(X) = (pi * 144cm^2) - (30 cm^2)

(X) = 144pi - 30

(X) = 452.39 - 30

(X) = 422.39 cm^2

Take the area of the circle and subtract that with the area of the rectangle.

Area of circle= pi*r^2

Area of circle= pi*12^2

Area of circle=144pi

Area of circle= 452.16 cm^2

Area of rectangle: b*h

Area of rectangle: 10*3

Area of rectangle: 30 cm^3

452.16-30=422.16

So the area of the shaded region is 422.16 cm^2

Hope this helped!

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