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 >>>

$r=\frac{3}{2}$

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:

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