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