Question

A circle has a circumference of 907.46 units, what is the diameter of the circle?

Answer 1

Answer:

$\red {Diameter \:of \:the \:circle(d)} \green { d = 288.74 \:units}$

Step-by-step explanation:

$Circumference \: of \: a \: circle = 907.46\: units$

$\boxed {\pink { Circumference \:of \: circle = \pi d }}$

$\pink {where \: d \: is \: a \: diameter}$

$\implies \pi d = 907.46$

$\implies \frac{22}{7} \times d = 907.46$

$\implies d = 907.46 \times \frac{7}{22}$

$\implies \green { d = 288.74 \:units}$

Therefore.,

$\red {Diameter \:of \:the \:circle(d)} \green { d = 288.74 \:units}$

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Answer 2

The diameter of the circle is 288.74 units

Step-by-step explanation:

Formula for circumference of a circle is given below:

$C=2\pi r$

Where r is radius and $\pi=\frac{22}{7}$

Also we know that Diameter of circle is twice the radius

that is Diameter(D)=2r

Thus $C=\pi\times D$

It is given that circumference (C) is 907.46units

$C=907.46\\\\\Rightarrow \pi\times D=907.46\\\\\Rightarrow \frac{22}{7}\times D=907.46$

Cross Multiply

$\Rightarrow D=\frac{907.46\times 7}{22} \\\\\Rightarrow D=\frac{6352.22}{22} \\\\\Rightarrow D=288.74units$