Respuesta :

Answer:

12.74 cm

Step-by-step explanation:

semicircle: πr

πr = 40

r = 40 / 3.14 = 12.74

The radius of the semicircle is 12.73 cm if a piece of wire length of 40 cm is bent to form a semicircle.

It is given that a piece of wire 40 cm in length is bent to form a semicircle.

It is required to find the radius of the semicircle.

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

The length of the wire = 40 cm

We know the perimeter of the circle = 2πr,  where r is the radius of a circle.

The perimeter of the semi-circle = πr

Length of wire = πr

40 = πr    or

r = 12.73 cm

Thus, the radius of the semicircle is 12.73 cm if a piece of wire length of 40 cm is bent to form a semicircle.

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