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Two semicircles are used to make the shaded shape below. One semicircle has a diameter of 12 cm and the other has a diameter of 20 cm.

Two semicircles are used to make the shaded shape below One semicircle has a diameter of 12 cm and the other has a diameter of 20 cm class=

Respuesta :

Answer:58.272

Step-by-step explanation: This is the answer for maths watch

The perimeter of the shaded shape is 58.29  cm.

Semi-Circles:

  • It is half the circle.
  • Its area is given by A = [tex]\frac{\pi r^2}{2}[/tex] .
  • Its perimeter is given by, P = πr .

How to solve the given question?

  • The shaded shape comprises two semi-circles with a diameter of 12cm and 20cm.
  • So, the perimeter of the shaded shape = (perimeter of 12cm diameter semi-circle) + (perimeter of 20cm diameter semi-circle) + (difference of diameter)

                             [tex]P = \pi r_1 + \pi r_2 + (d_1 - d_2)\\P = (\pi \ \frac{20}{2} ) + (\pi \ \frac{12}{2} ) +(20 -12)\\P = \pi ( 10 + 6) +8\\P = 16\pi +8\\P = 58.29 \ cm[/tex]

Thus, the perimeter of the shaded shape is 58.29 cm.

Learn more about perimeter here:

https://brainly.com/question/14965059

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