Problems from Area and perimeter of a circumference

If we say that the length of the element r is 31 cm, what is the area that encloses the circumference?

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Development:

Let r=31 cm. We have, according to the formula A=πr2

A=π312=3019,07 cm2

Solution:

A=3019,07 cm2

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If we say that the length of the element D is 20 cm, what is the perimeter of the circle?

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Development:

In this case we do not know the value of r, but we know the value of D. We also know that D=2r, so the radius is half the diameter. Therefore we have r=10 cm.

Using the following formula P=2πr and knowing the radius is 10 cm we have

P=2πr=2π10=62,83 cm

Solution:

P=62,83 cm

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