[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] ⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔ Reply
[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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