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11. The circumference of a circular table is 88cm. Find the radius of the table.​

Answer»

align="absmiddle" alt="{\large{\underline{\underline{\pmb{\sf{QUESTION:}}}}}}" class="latex-formula" ID="TexFormula1" src="https://tex.z-dn.net/?f=%7B%5Clarge%7B%5Cunderline%7B%5Cunderline%7B%5Cpmb%7B%5Csf%7BQuestion%3A%7D%7D%7D%7D%7D%7D" title="{\large{\underline{\underline{\pmb{\sf{Question:}}}}}}">

The circumference of a circular table is 88 cm. Find the radius of the table.

{\large{\underline{\underline{\pmb{\sf{Required\:Answer:}}}}}}

The radius of the table is 14 cm.

{\large{\underline{\underline{\pmb{\sf{Given:}}}}}}

The Question says that there is a circular table, which has 88 cm as its circumference.

{\large{\underline{\underline{\pmb{\sf{To\:find:}}}}}}

According to the Question, we need to find the radius of the circular table.

{\large{\underline{\underline{\pmb{\sf{Formula\:used:}}}}}}

To find the circumference of the circle, we use the following formula:

{:\implies {\boxed{\sf{Circumference_{(circle)} = 2 \pi r}}}}

From this formula, we will find the radius of the circular table, which is our required answer.

{\large{\underline{\underline{\pmb{\sf{Solution:}}}}}}

\sf{:\implies Circumference_{(circle)} = 2 \pi r}

\sf{:\implies 88 = 2 \times \dfrac{22}{7} \times r}

\sf{:\implies \dfrac{88}{2} = \dfrac{22}{7} \times r}

\sf{:\implies 44 = \dfrac{22}{7} \times r}

\sf{:\implies 44 \times 7 = 22 \times r}

\sf{:\implies 308 = 22 \times r}

\sf{:\implies \dfrac{308}{22} = r}

\sf{:\implies 14 = r}

\sf{:\implies r = 14}

\sf{:\implies Radius_{(Circle)} = 14\:cm}

Hence, the radius of the circular table is 14 cm.


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