what is the area of a sector with a central angle of 185 and a diameter of 6.4

Question

what is the area of a sector with a central angle of 185 and a diameter of 6.4

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2022-05-13T21:56:17+00:00 2 Answers 0

Answers ( 2 )

  1. Aubrey
    0
    2022-05-13T21:58:04+00:00

    The area is 16.52.

    The central angle is 185; this means that the sector makes up 185/360 of the total circle.

    We will multiply this fraction by the area of the total circle. The area of a circle is given by A =u03c0ru00b2. Since the diameter is 6.4, the radius is 6.4/2 = 3.2:

    A = 3.14(3.2)u00b2 = 32.1536

    We multiply this by the fraction of the circle the sector represents:
    185/360(32.1536) = 16.52

  2. Kylie97
    0
    2022-05-13T21:58:09+00:00

    Geometry B Unit 5: Area – Lesson 10: Area Unit Test

    1. What is the area of the trapezoid? The diagram is not drawn to scale.n

    72 cm^2n

    n

    2. Given the regular polygon, what is the measure of each numbered angle?n

    nmu22211 = 36u00b0; mu22212 = 72u00b0n

    n

    3. What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures are not drawn to scale.

    5/2 and 25/4n

    4. What is the area of a regular pentagon with a side of 12 in.? Round the answer to the nearest tenth.

    247.7 in.2n

    5. Name the minor arc and find its measure.n

    nAB; 162u00b0n

    n

    6. What is the circumference of the given circle in terms of pi_symbol?n

    28pi in.n

    7. What is the area of the given circle in terms of pi?n

    10.89pi m^2n

    8. What is the area of a sector with a central angle of 185u00b0 and a diameter of 6.4 m? Round the answer to the nearest tenth.

    16.5 m^2n

    9. What is the area of the shaded region in the given circle in terms of pi_symbol and in simplest form?n

    (270 pi + 81 Root 3) m^2

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