Question

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

Answer 1

Answer:

(d/2)^2 pi

Step-by-step explanation:

To find the area of a circle the formula is A=pi times radius sqaured. Since we do not have the radius we need to find it. The radius will always be half the diameter hence the (d/2). This will give us the radius, next is just to complete the area formula by squaring the radius and multiplying it by pi.  i hope this helps :)

Answer 2

The circle's area, in function of it's diameter, is given by:

$A = \frac{\pi d^2}{4}$

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• The area of a circle, in function of it's radius r, is given by:

$A = \pi r^2$

• The radius is half the diameter, thus: $r = \frac{d}{2}$

• Replacing $r = \frac{d}{2}$ into the formula for the area, it is possible to find the area as a function of the diameter. Thus:

$A = \pi r^2$

$A = \pi (\frac{d}{2})^2$

$A = \pi \frac{d^2}{4}$

$A = \frac{\pi d^2}{4}$

Which is the area of a circle of diameter d.

A similar problem is given at https://brainly.com/question/16891462