Anonymous
Anonymous asked in Science & MathematicsMathematics · 6 months ago

The central angle of a sector of a circle with radius 20 cm is 65°. Determine the area of the sector??

4 Answers

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  • 6 months ago
    Favorite Answer

    Let's first imagine that the question asked for the area of the full circle.

    A = πr²

    A = π(20 cm)²

    A = 500π cm²

    A ≈ 1257 cm²

    But you don't want the full 360°, you just want a sector that is 65°, so multiply by the fraction:

    Asector = 65/360 * A

    Asector = 13/72 * A

    Asector = 13/72 * 1257 cm²

    ≈ 227 cm²

  • Como
    Lv 7
    6 months ago

    --

    Area of sector = (65/360) x π x 20² ft²

    Area of sector = 226•9 ft²

  • Mike G
    Lv 7
    6 months ago

    65° = 65π/180 radians

    Area = (1/2)*65π/180*20^2 =

    650π/9 cm^2

    ≈ 226.9 cm^2

  • ted s
    Lv 7
    6 months ago

    from circle being π radius ² = angle divide by 2 radius² we see the answer is [ ( 65 / 180) / 2 ] π ( 20²)

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