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maw [93]
3 years ago
13

a circle with a radius of 3cm sits inside a 8cm x7cm rectangle. what is the area of the shaded region?

Mathematics
1 answer:
Leni [432]3 years ago
4 0

Answer:

27.73 square centimeters

Step-by-step explanation:

<em>Assume the shaded region is the area outside the circle but inside the rectangle.</em>

<em />

Now, we need to find the area of rectangle and area of circle. Then we will subtract area of circle from area of rectangle to get our desired answer.

Area of Rectangle = length * width

Area of Rectangle = 8 * 7 = 56

Area of circle is given by the formula:

Area =  \pi r^2

Where r is the radius, which is 3

So,

Area of Circle = \pi r^2 = \pi (3)^2 = 9\pi=28.27

Thus, area of the shaded region is:

Area of Shaded Region = 56 - 28.27 = 27.73 square centimeters

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