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21 July, 22:23

The circumference of a circle is 78π cm. Find the diameter, the radius, and the length of an arc of 140°.

A. 156 cm; 39 cm; 160π cm

B. 39 cm; 78 cm; 15.2π cm

C. 78 cm; 156 cm; 15.2π cm

D. 78 cm; 39 cm; 30.3π cm

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  1. 21 July, 22:44
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    The correct answer is the option D, which is: D. 78 cm; 39 cm; 30.3π cm

    The explanation is shown above:

    1-The formula for calculate the circumference of a circle is:

    C=2 πr

    78π=2πr

    2 - The radius is:

    r=78π/2π

    r=39 cm

    3 - The diameter is:

    D=39 cm x 2

    D=78 cm

    4 - The arc length is:

    arc length = (140°π/180°) (39 cm)

    arc length=30.3π cm
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