Answer:
[tex]A=530.66\ in^2[/tex]
Step-by-step explanation:
The circumference of a dartboard, C = 26pi inches
We need to find the area on which the dart may land.
The circumference of a circle is given by :
C = 2πr
Where
r is the radius of the dartboard
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{26\pi}{2\pi}\\\\r=13\ in[/tex]
Now, the area of a circle is given by :
[tex]A=\pi r^2\\\\=3.14\times (13)^2\\\\A=530.66\ in^2[/tex]
so, the required area is [tex]530.66\ in^2[/tex].
