Question

Write an expression to represent a circle's area in terms of its diameter,
d

Answer 1

Answer:

Meat, Egg and Fish etc..

Answer 2

Answer:

The area of circle in terms of its diameter is: $a = \pi (\frac{D^{2} } {4} )$

Step-by-step explanation:

The region that a circle occupies in the 2D plane is referred to as a circle's area. Using the area of sector formula, which reads $a =\pi r^{2}$, we can figure it out. Here, r stands for the circle's radius, and the area is expressed in square units like $cm^{2}$, $m^{2}$ etc.

The diameter of the circle is referred to as the line that tends to divide the circle into two equal portions. In a simpler way, we can say that it is twice the radius of the circle and is represented by either the symbol ‘d’ or ‘D’. Hence, we can say that

d = 2r or D = 2R i.e. R = $\frac{D}{2}$

Every geometrical shape has a defined area. The region that the shape occupies in a 2D plane is what this area is known as. When discussing a circle's area, we are referring to the area on a 2D plane that is completely covered by the circle's radius. Let's look at the formula that we can use to determine the circle's area with respect to diameter.

$a = \pi r^{2}$

$a = \pi (\frac{D}{2})^{2}$

$a = \pi (\frac{D^{2} } {4} )$

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