What is the area of a 10 degree slice of a circle with a diameter of 12?

Answer 1

Area of a circle is (pi)(R)2 .

If diameter =12, then radius = 6,

and Area = (pi)(6)2 = 36 pi .

Full circle = 360 degrees.

10 degrees = 10/360 = 1/36 of the full circle.

Area of the sector ('slice') = (full area)/36 = (36 pi)/36 = pi = 3.142 square units (rounded)