Question

| What is the area of a circular path with outer and inner radii R¹ and R², respectively?​

Answer 1

Answer:

Step-by-step explanation:

π(R1 + R2) (R1 - R2),

Answer 2

Given : The Radius of inner circle and outer circle of Circular path is R¹ and R² , respectively.

Need To Find : The area of Circular Path .

❍ The Formula for Area of Circle is given by :

• $\boxed {\star \sf{\pink{ Area _{(Circle)} = \pi r^{2} \:}}}$

Where ,

• r is the Radius of Circle.

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Then ,

• $\boxed {\star \sf{\pink{ Area _{(Circular\:Path)} =Area\:of\:outer\:circle\: - Area\:of\:inner\:circle \:}}}$

Or ,

• $\boxed {\star \sf{\pink{ Area _{(Circular\:Path)} = \pi (R_{1})^{2} - \pi (R_{2})^{2} \:}}}$

$:\implies\sf{ Area _{(Circular\:Path)} = \pi (R_{1})^{2} - \pi (R_{2})^{2} \:}$

By taking $\pi$ as common :

$:\implies\sf{ Area _{(Circular\:Path)} = \pi (R_{1}\:^{2} - R_{2}\:^{2}) \:}$

$:\implies\sf{ Area _{(Circular\:Path)} = \pi (R_{1} + R_{2})(R_{1} - R_{2} ) \:}$

⠀⠀⠀⠀⠀$\underline {\boxed{\pink{ \mathrm { Area_{(Circular \:Path)} =\pi (R_{1}+ R_{2})(R_{1} - R_{2} ) }}}}\:\bf{\bigstar}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Area\:of\:Circular \:Path\:is\:\bf{ \pi (R_{1}+ R_{2})(R_{1} - R_{2} ) }}}}$

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