What is the area of a 45 degree sector of a circle with a radius of 12in.? Use 3.14 and round the answer to the nearest square inch.

Question

What is the area of a 45 degree sector of a circle with a radius of 12in.? Use 3.14 and round the answer to the nearest square inch.

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Autumn 2 weeks 2021-09-08T11:50:27+00:00 1 Answer 0

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    2021-09-08T11:52:12+00:00

    Answer:

    57 square inches

    Step-by-step explanation:

    First consider that a 45 degree sector of a circle is 45/360 of the area of the full circle from which it is cut.  This comes out to 1/8 of the full circle area.

    The area of a circle of radius 12″ is A = π(12 “)^2, or A = 144π.

    The area of the sector in question is 1/8 of that, or

    A = (1/8)(144π), or A = 18π square inches, or approximately 57 square inches.

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45:7+7-4:2-5:5*4+35:2 =? ( )