7. The area of the sector of a circle
with radius 6 cm and of angle 60° is

By Eden

7. The area of the sector of a circle
with radius 6 cm and of angle 60° is

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Eden

2 thoughts on “7. The area of the sector of a circle<br />with radius 6 cm and of angle 60° is<br />​”

  1. [tex]\boxed {\underline {\mathbb {FINAL\:ANSWER:-}}}[/tex]

    [tex]\boxed {arae\: of \: sector \implies 18.84 cm^{2} }[/tex]

    [tex]\boxed {\underline {\mathbb {GIVEN:-}}}[/tex]

    radius 6 cm

    angle of sector of a circle is 60°

    [tex]\boxed {\underline {\mathbb {TO\:FIND:-}}}[/tex]

    area of the sector of a circle with radius 6 cm and of angle 60°

    [tex]\boxed {\underline {\mathbb {FORMULA\:USED:-}}}[/tex]

    Area of sector of circle = [tex]\frac{ \theta }{360} \pi r^{2}[/tex]

    [tex]\boxed {\underline {\mathbb {SOLUTION:-}}}[/tex]

    Radius of circle [tex]= 6 cm[/tex]

    Angle of sector is 60°

    Here,

    [tex]r=6cm\\\theta =60[/tex]

    Area of sector of circle = [tex]\frac{ \theta }{360} \pi r^{2}[/tex]

    [tex]=\frac{ 60}{360} \times \frac{22}{7} \times 6^{2}[/tex] [ ← putted values in equation]

    [tex]=\frac{ 60}{360} \times \frac{22}{7} \times 6 \times 6\\=18.84 cm^{2}[/tex]

    hence, area of sector [tex]\boxed {\implies 18.84 cm^{2} }[/tex]

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