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a circular picture whose diameter is 4 decimeter is framed in a rectangle board with dimension of 6 decimeter by 4 decimeter what is the area of the board that can be seen​

Respuesta :

Answer is [tex] \bf \dfrac{80}{7} [/tex] dm².

In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.

Refer to the attachment for step by step solution. :)

Ver imagen HealingPearl
Ver imagen HealingPearl

The area of the board that can be seen is  11.44 decimeter square.

What is the area of the board that can be seen?

The area of the board that can be seen is equivalent to the difference between the area of the circular picture and the area of the rectangular board.

Area of a circle = πr²

Where :

  • π = pi = 3.14
  • R = radius = diameter = 4/2 = 2

3.14 x 2² = 12.56 d²

Area of the rectangle = length x width

6 x 4 = 24

Area of the board that can be seen = 24 - 12.56 = 11.44 decimeter square

To learn more about the area of a circle, please check: https://brainly.com/question/14351152