In a circle with radius 2cm, a sector area has πcm². What’s the measure of the arc of the sector?​

Question

In a circle with radius 2cm, a sector area has πcm². What’s the measure of the arc of the sector?​

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Tryphena 1 week 2021-07-22T17:07:24+00:00 1 Answers 7 views 0

Answers ( )

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    2021-07-22T17:08:47+00:00

    Step-by-step explanation:

    Hey mate !!

    Here’s your answer !!

    Given :

    Radius = 7 cm

    The angle between the arc = 30°

    To find :

    Area of sector = ?

    Proof :

    We know that,

    Area of sector = Ф / 360° * πr²

    Here Ф = 30°, r = 7 cm, π = 22 / 7

    Substituting them in the formula we get,

    = Area of sector = 30° / 360° * 22 / 7 * 7 * 7

    => Area of sector = 1 / 12 * 22 * 7

    => Area of sector = 154 / 12

    => Area of sector = 12.83 cm²

    Hope my answer helped !!

    Cheers !!

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