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AlekseyPX
3 years ago
5

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

Mathematics
2 answers:
Helga [31]3 years ago
7 0

Answer:

5.86

Step-by-step explanation:

.

Vitek1552 [10]3 years ago
5 0

Given:

Rectangle inside a circle.

To find:

The area of the shaded region.

Solution:

Length of a rectangle = 3 cm

Width of a rectangle = 3 cm

Area of a rectangle = length × width

                                    = 3 × 3

Area of a rectangle = 9 cm²

Radius of a circle = 4 cm

Area of a circle = πr²

                             = 3.15 × 4²

Area of a circle = 50.24 cm²

Area of shaded region = Area of circle - Area of rectangle

                                      = 50.24 - 9

                                      = 41.24 cm²

The area of the shaded region is 41.24 cm².

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The formula:
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A: area
b: base
h: height
L: length
s1: side 1 (cross-sectional area)
s2: side 2 (cross-sectional area)
s3: side 3 (cross-sectional area)

Here’s an example (see attached image)

A = (4 x 6) + (12 x [7 + 7 + 4])
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I hope this helped? Comment if you need more explanation or anything!

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