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How do you find diameter of a circle with area?

Answer 1

#D=(2)(sqrt(A/\pi))#

It is known that the area of a circle is #A=\pir^2#. If the area of the circle is given, the radius #r#, can be calculated and that is through literal transposition.

#A=\pir^2 # #=>r^2=A/\pi# #=>r=sqrt(A/\pi) |......(1)#

Also, the radius of a circle is half the diameter so therefore, #2r=D|......(2)#

Substituting equation #(1)# into equation #(2)#, #D=(2)(sqrt(A/\pi))#

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Answer 2

Theodore Abad

To find the diameter of a circle using its area, you can use the formula:

[ \text{Diameter} = 2 \times \sqrt{\frac{\text{Area}}{\pi}} ]

Where:

Diameter is the length of a straight line passing through the center of the circle, connecting two points on the circle's circumference.
Area is the total space enclosed by the circle.
π (pi) is a mathematical constant approximately equal to 3.14159.

You can use this formula by plugging in the given area of the circle to calculate its diameter.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.