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Dominik [7]
3 years ago
11

Find the area of the shaded region formed by circle that touches the edges of a rectangle.

Mathematics
1 answer:
disa [49]3 years ago
6 0

Answer:

266.14 \:  {cm}^{2}

Step-by-step explanation:

In case of rectangle:

Length l = 30 cm

Width w = 14 cm

Since, circle touches the edges (lengths) of the rectangle.

Therefore,

Diameter of circle = 14 cm

So, radius r = 14/2 = 7 cm

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

= lw  - \pi {r}^{2}  \\  \\  = 30 \times 14 - 3.14 {(7)}^{2}  \\  \\  = 420 - 3.14 \times 49 \\  \\  = 420 - 153.86 \\  \\  = 266.14 \:  {cm}^{2}

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