Area of a sector of a circle if radius 14cm and sector angle 80degree is _______​

Question

Area of a sector of a circle if radius 14cm and sector angle 80degree is _______​

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Audrey 1 month 2021-08-22T23:53:53+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-22T23:55:07+00:00

    Answer:

    136.89 is the answer for your question

    0
    2021-08-22T23:55:10+00:00

    Step-by-step explanation:

    Given :

    sector of a circle if radius 14cm and sector angle 80degrees

    To find:

    Area of a sector

    Solution:

    Radius of the sector(r)=14 cm

    Angle of the sector ()=80°

    Formula:

    If the radius is ‘r’ units , angle is ‘x° then the area of the sector (A)=(/360°)×πr^2 Sq.units

    Area of the sector(A)=

    (80°/360°)×(22/7)×14×14 sq.cm

    =>(2/9)×(22/7)×196 sq.cm

    =>(2×22×196)/(9×7) sq.cm

    =>(2×22×7×28)/(9×7) sq.cm

    Cancelling 7

    =>(2×22×28)/9 sq.cm

    =>1232/9 sq.cm

    =>136.888.... sq.cm

    =>136.89 sq.cm(approximately)

    Answer:

    Area of the sector=136.89 sq.cm

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