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3 years ago

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

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