Question

A dartboard has a circumference of 26pi in. Calculate the total are on which the dart may land?

Answer 1

Answer:

$A=530.66\ in^2$

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

$r=\dfrac{C}{2\pi}\\\\r=\dfrac{26\pi}{2\pi}\\\\r=13\ in$

Now, the area of a circle is given by :

$A=\pi r^2\\\\=3.14\times (13)^2\\\\A=530.66\ in^2$

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