First you need to find the r, if C=2pieR, than 2.4=2pieR now you divide 2.4 by 2 so you got 1.2=pieR now you divide 1.2 by pie and obtained aproximately 0.38 miles, that is your R, now you do pie multiply by 0.38 exposant 2 and there you go, your answer is aproximately 0.45 miles2 :)
40 percent. Times both by twenty
if the diameter is 26 yards, then its radius is half that, or 13 yards.
![\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=13 \end{cases}\implies C=2\pi (13)\implies C=26\pi \implies C\approx 81.68 \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=13 \end{cases}\implies A=\pi (13)^2\implies A=169\pi \implies A\approx 530.93](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bcircumference%20of%20a%20circle%7D%5C%5C%5C%5C%20C%3D2%5Cpi%20r~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D13%20%5Cend%7Bcases%7D%5Cimplies%20C%3D2%5Cpi%20%2813%29%5Cimplies%20C%3D26%5Cpi%20%5Cimplies%20C%5Capprox%2081.68%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5C%20A%3D%5Cpi%20r%5E2~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D13%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%20%2813%29%5E2%5Cimplies%20A%3D169%5Cpi%20%5Cimplies%20A%5Capprox%20530.93)
We are given equations as

Firstly, we will write in slope intercept form of line
y=mx+b

Subtract both sides by 4x


now, we can divide both sides by a

we can find slope
so, we get

we are given second equation as

Firstly, we will write in slope intercept form of line
y=mx+b
divide both sides by a

we can find slope

we are given both lines are perpendicular
so, the multiplication of their slopes must be -1

we can plug values

now, we can solve for a

Multiply both sides by a


now, we can solve for a
we get
...............Answer