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.
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