What is the diameter of a circle with circumference 5?

Question

2456 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-26T12:44:47

$D = 1.6$ $D = 1.6$

Using;

$C = 2 π r$ $C = 2pir$

Where;

$C = Circumference$ $C = "Circumference"$

$r = Radius$ $r = "Radius"$

Recall;

$D = 2 r$ $D = 2r$

$D = Diameter$ $D = "Diameter"$

Therefore;

$r = \frac{D}{2}$ $r = D/2$

Substituting $r$ $r$ into the main equation..

$C = 2 π (\frac{D}{2})$ $C = 2pi(D/2)$

$C = cancel2pi(D/cancel2)$

$C = piD$

Making $D$ the subject;

$C/D = (piD)/D$

$C/pi = (cancelpiD)/cancelpi$

$D = C/pi$

When;

$C = 5$

$pi = 22/7$

$D = 5/(22/7)$

$D = 5 div 22/7$

$D = 5 xx 7/22$

$D = 35/22$

$D = 1.59090$

$D = 1.6$