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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.

Work out the perimeter of the shaded shape.

Answer :

Final answer:

To find the perimeter of the shaded shape, add the lengths of the two semicircles and the straight line segment between them.

Explanation:

To find the perimeter of the shaded shape, we need to find the lengths of the two semicircles and the straight line segment between them. The circumference of a circle is given by the formula C = πd, where d is the diameter. So the circumference of the semicircle with a diameter of 12 cm is C = π12 cm = 12π cm. Similarly, the circumference of the semicircle with a diameter of 20 cm is C = π20 cm = 20π cm. The straight line segment between the two semicircles is the sum of their diameters, which is 12 cm + 20 cm = 32 cm. Therefore, the perimeter of the shaded shape is 12π cm + 20π cm + 32 cm.

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