If a dart board is divided into twenty equal sectors and the diameter of the board is 18 inches, what area of the board does each sector cover?If a...

Area A of the circle is given by the
formula:

A = pir^2.

The
diameter of the dart board = 18 inches.

So the radius of
the dart board = diameter/r = 18/2  = 9inch.

So the area of
the circular dart board = pi*r^2 = pi*9^2. = 81pi sq
inches.

Since board is covered in 20 equal sectors, the
area covered in each sector = A/20 = Pir^2/20 = 81pi/20  = 4.05pi sq inches = 12.7235 sq
inch nearly.

The area covered in each of 20
equal sectors = 4.05pi sq in, or 12.7235 sq in.