Geometry: Area of a Sector?

Find the area of one sector!?

Suppose you have a dart board that has a diameter of 20 and it is divided into 20 congruent sectors

Part 1 Find the central angle.(Hint a circle has 360)

Part 2 Find the fraction of the circle that one sector will take up.

Part 3 Use the fractional part from part 2 with the area formula to find the area of one sector of the circle to the nearest tenth.

Area of sector= AB/360(3.14)(radius)squared

H E L P! :0

1 Answer

Relevance
  • 9 years ago
    Favorite Answer

    1)360/20 = 18 ; 2) 18/360 = 1/20

    3) Area of Circle is Pi X r^2. So r = 10 & Pi = 3.142. r^2 = 100 so area of full circle is 314.2

    Each segment is 314.2/20 = 157.1

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