A circle has a circumference of 153.86 units. What is the radius of the circle?

Mathematics

2 answers:

Leni [432]2 years ago

8 0

Radius = 24.49

Hope this helps! (If not sorry!)

Lubov Fominskaja [6]2 years ago

4 0

Answer: 24.5 units.

Step-by-step explanation:

The formula to find the circumference of circle is given by :-

$C=2\pi r$ , where r is the radius of the circle.

Given : A circle has a circumference of 153.86 units.

Therefore, the circumference of circle will be :-

$153.86=2\pi r\\\\\Rightarrow\ r=\dfrac{153.86}{2\pi}\\\\\Rightarrow\ r=\dfrac{153.86}{2(3.14)}=24.5\text{ units}$

Hence, the radius of the circle is 24.5 units.

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$\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
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\end{array}\\ \quad \\
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$\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
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\end{array}
$

now, we know that V varies directly to T and inversely to P simultaneously
thus $\bf V=T\cdot \cfrac{k}{P}$

so $\bf V=T\cdot \cfrac{k}{P}\qquad 
\begin{cases}
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\\\\\\
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\begin{cases}
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