If the area of a circle with radius 'r' is equal to CSA of a cone of radius 'R' and slant height 'L', then R = .

\frac{r^{2}}{L}

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π R L

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r L

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Solution

The correct option is A $\frac{r^{2}}{L}$
Given,
Area of circle = Curved surface area of cone

$\Rightarrow π r^{2} = π R L$

$\Rightarrow R = \frac{r^{2}}{L}$

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If the area of a circle with radius 'r' is equal to CSA of a cone of radius 'R' and slant height 'L', then R = .

The correct option is A r2LGiven, Area of circle = Curved surface area of cone ⇒πr2=πRL ⇒R=r2L

The correct option is A $\frac{r^{2}}{L}$
Given,
Area of circle = Curved surface area of cone

$\Rightarrow π r^{2} = π R L$

$\Rightarrow R = \frac{r^{2}}{L}$