Question

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What is the circumference of a circle with a radius of 3 and a diameter of 14?

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Answer 1

$\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}$

        What is the circumference of a circle with a radius of 3 and a diameter of 14?

$\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}$

• Formula for Circumference of a circle:-

$\bold{Circumference_{(circle)}=\pi d}$

First, we multiply the radius times 2 in order to get the diameter (the radius is exactly one-half of the diameter).

Now, we substitute 6 (3•2) for d:-

$\sf{C=\pi *6}$            [π=3.14]

$\bigstar$On simplification,

$\sf{C=3.14\times6}$

$\bigstar$ Which results in

$\sf{C=18.84\:cm}$

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Now, let's find the circumference of a circle whose diameter is 14:

$\sf{C=\pi d}$

Substitute 14 for d:-

$\sf{C=14\pi }$                   Next, substitute 3.14 for pi:-

$\sf{C=14\times3.14}$

$\bigstar$ Which results in:-

$\sf{C=43.96\:units}$

Good luck with your studies.

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