Question

Find the area of a circle with diameter = 10.5in. please help me right now pleasee.

Answer 1

The area of a circle of radius r is given by the formula:

`A=\pi\cdot r^2`

On the other hand, the radius r is half the diameter D of the circle:

`r=(D)/(2)`

Substitute D=10.5 in to find the radius:

`\begin{gathered} r=\frac{10.5\text{ in}}{2} \\ \therefore r=5.25\text{ in} \end{gathered}`

Use the value r=5.25 in to find the area of the circle:

`A=\pi\cdot(5.25in)^2`

Use a calculator to find the numerical value of the expression. We get that:

`A\approx86.59in^2`