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A dartboard has a circumference of 26pi in. Calculate the total are on which the dart may land?
Use 3.14
hint is not 53.81​


Sagot :

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].