Question

Find the area of a circle with a circumference of 50.24 units.​

Answer 1

Given:-

• Circumference of the circle is 50.24 units.

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To find:-

• Area of Circle.

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Solution:-

Firstly,

• find out the radius of the circle.

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★Formula used:-

${\dag}\:{\underline{\boxed{\sf{\purple{Circumference\: of\: Circle = 2\pi r}}}}}$

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$\tt\longmapsto{50.24 = 2 \times \dfrac{22}{7} \times r}$

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$\tt\longmapsto{50.24 = \dfrac{44}{7} \times r}$

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$\tt\longmapsto{r = 50.24 \times \dfrac{44}{7}}$

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$\tt\longmapsto{r = 7.9\: unit}$

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Hence,

• the radius of the circle is 7.9 unit.

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Then,

• find out the area of the Circle.

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★Formula used:-

${\dag}\:{\underline{\boxed{\sf{\purple{Area\: of\: Circle = \pi r^2}}}}}$

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$\tt\longmapsto{\dfrac{22}{7} \times (7.9)^2}$

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$\sf\longmapsto{\boxed{\red{196.14\: unit^2}}}$

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Hence,

• the area of the circle is 196.14 unit ².

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★More to know :-

$\sf{Area\;of\;Rectangle\;=\;Length\;\times\;Breadth}$

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$\sf{Area\;of\;Square\;=\;(Side)^{2}}$

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$\sf{Area\;of\;Triangle\;=\;\dfrac{1}{2}\;\times\;Base\;\times\;Height}$

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$\sf{Area\;of\;Parallelogram\;=\;Base\;\times\;Height}$

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$\sf{Area\;of\;Circle\;=\;\pi r^{2}}$

$\sf{Perimeter\;of\;Rectangle\;=\;2\;\times\;(Length\;+\;Breadth)}$

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$\sf{Perimeter\;of\;Rectangle\;=\;4\;\times\;(Side)}$

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$\sf{Perimeter\;of\;Circle\;=\;2\pi r}$