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3 years ago

A circle with radius of 1 cm sits inside a 3 cm x 4 cm rectangle.

Mathematics

1 answer:

White raven [17]3 years ago

4 0

The area of shaded-region is 8.86 cm^2

Step-by-step explanation:

We can see that there is a circle and a triangle in the given figure

In order too find the area of shaded region, we have to find the area of rectangle and circle first. The area of the shaded region will be obtained by subtracting the area of circle from the area of rectangle.

So,

Area of circle:

Radius = r = 1 cm

So,

$A_c = \pi r^2\\= 3.14 * (1)^2\\= 3.14*1\\= 3.14\ cm^2$

Area of rectangle:

Length of rectangle = l = 4 cm

Width of rectangle = w = 3 cm

So,

$A_r = l*w\\= 4 *3\\=12 cm^2$

Now,

$Area\ of\ shaded-region = A_r - A_c\\= 12 - 3.14\\=8.86\ cm^2$

The area of shaded-region is 8.86 cm^2

Keywords: Area, shaded regions

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