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3 years ago

Rewrite the formula for the circumference of a circle C=2xpix r in terms of its diameter d. Show your work.

2 answers:

ozzi3 years ago

7 0

Hi there!

The answer is
$circumference \: = d\pi$
In this formula d represents the diameter.

We know that 2 times the radius equals the diameter, hence
$2r = d$

Therefore we can replace the 2r in the original formula by d, and then we get the following:
$circumference = 2\pi \: r = 2r\pi = d\pi$

Keith_Richards [23]3 years ago

3 0

Diameter = 2·radius

С = 2·π·r ⇒ С = π·d

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The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E

Gnoma [55]

Answer:

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$\triangle CBA {\displaystyle \sim } \triangle FED$

$\triangle BAC {\displaystyle \sim } \triangle EDF$

Step-by-step explanation:

Given

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$AC = 10$

$AB = 5$

$\angle C = 30^\circ$

$ED = 7.5$

$DF = 25$

$\angle F =30$

$\angle E =90$

Required

Which of the options is/are true:

$\triangle CBA {\displaystyle \sim } \triangle FED$ $\triangle CBA {\displaystyle \sim } \triangle FDE$ $\triangle BAC {\displaystyle \sim } \triangle EFD$

$\triangle BAC {\displaystyle \sim } \triangle EDF$ $\triangle ABC {\displaystyle \sim } \triangle DE\ F$ $\triangle ABC {\displaystyle \sim } \triangle DFE$