Question

find the area of shaded reigon


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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Area of the shaded region = 746 cm²

Step-by-step explanation:

Given :

• Length of the rectangle = 50 cm
• Breadth of the rectangle = 20 cm
• Radius of the circle = 7 cm
• Side of the square = 10 cm

To find :

the area of the shaded region

Solution :

We have to subtract the areas of circle and square from the area of the rectangle to get the area of the shaded region.

Area of the rectangle :

Length = 50 cm

Breadth = 20 cm

➙ Area = length × breadth

➙ Area = 50 cm × 20 cm

➙ Area = 1000 cm²

Area of the circle :

radius = 7 cm

➙ Area = πr²

➙ Area = (22/7) × 7 cm × 7 cm

➙ Area = 22 × 7 cm²

➙ Area = 154 cm²

Area of the square :

side = 10 cm

➙ Area = side × side

➙ Area = 10 cm × 10 cm

➙ Area = 100 cm²

Area of the shaded region :

➙ Area of the shaded region = Area of the rectangle - (Area of circle + Area of square)

➙ Area of the shaded region = 1000 cm² - (154 cm² + 100 cm²)

➙ Area of the shaded region = 1000 cm² - 254 cm²

➙ Area of the shaded region = 746 cm²