Question

The diameter of a circle is 3 inches. What is the area?Give the exact answer in simplest form. _____ square inches. (pi, fractions)

Answer 1

The radius of a circle is half the diameter.

Thus, the radius (r) is >>>

`r=(3)/(2)`

The area of a circle is given by the formula,

`A=\pi r^2`

Where

r is the radius

Substituting the radius value into the area formula, we have:

`\begin{gathered} A=\pi r^2 \\ A=\pi((3)/(2))^2 \\ A=\pi((9)/(4)) \\ A=(9\pi)/(4) \end{gathered}`