Question

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​

Answer 1

`A=530.66\ in^2`

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

`r=(C)/(2\pi)\\\\r=(26\pi)/(2\pi)\\\\r=13\ in`

Now, the area of a circle is given by :

`A=\pi r^2\\\\=3.14* (13)^2\\\\A=530.66\ in^2`

so, the required area is
`530.66\ in^2`.