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The circumference of a circle is 20π cm. What is the DIAMETER of the circle? A) 4 cm B) 5 cm C) 10 cm D) 20 cm

User Ingris
by
5.8k points

2 Answers

2 votes

SOLVING


\Large\maltese\underline{\textsf{A. What is Asked}}

If a Circle has a circumference of
\bf{20\pi}, what is its diameter?


\Large\maltese\underline{\textsf{B. This problem has been solved!}}

The equation used, here is
\bf{C=\pi d}.

Let's start by putting in what C equals.


\bf{20\pi =\pi d | divide both sides by pi


\bf{20=d}


\cline{1-2}


\bf{Result:}


\bf{=d=20,\;the\;fourth\;option}


\LARGE\boxed{\bf{aesthetics\\ot1\theta l}}

User Joseph Alcorn
by
6.2k points
5 votes

Since you are given the circumference and want to find the diameter, isolate d in the formula for circumference: C = πd.

C = πd

Divide both sides by π.

C/π = d

d = C/π

Plug in the given value for C and solve for d.

d = C/π

d = 20π/π

The pis cancel out, leaving 20 on the left side of the equation.

d = 20

Answer:

D) 20 cm

User UrOutsourced
by
6.1k points