Question

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.

Answer 1

Answer:58.272

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

Answer 2

The perimeter of the shaded shape is 58.29  cm.

Semi-Circles:

• It is half the circle.
• Its area is given by A = $\frac{\pi r^2}{2}$ .
• 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)

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

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

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