How to find the ratio of diameter and circumference

Help Questions

SAT Math › How to find the ratio of diameter and circumference

Questions 1 - 1

Let represent the area of a circle and represent its circumference. Which of the following equations expresses in terms of ?

$\frac{C^2}{\pi}$

$\frac{C^2}{4\pi}$

$\frac{C}{4\pi}$

$\frac{\pi C^2}{4}$

Explanation

The formula for the area of a circle is $A=\pi r^2$ , and the formula for circumference is $C=2\pi r$ . If we solve for C in terms of r, we get
$r=C/2\pi$ .

We can then substitute this value of r into the formula for the area:

$A=\pi r^2$

$=\pi (C/2\pi )^2$

$=C^2\pi /4\pi ^2$

$=C^2/4\pi$

Return to subject

AI TutorYour personal study buddy

Question of the DayDaily practice to build your skills

FlashcardsStudy and memorize key concepts

WorksheetsBuild custom practice quizzes

AI SolverStep-by-step problem solutions

Learn by ConceptMaster concepts step by step

Diagnostic TestsAssess your knowledge level

Practice TestsTest your skills with exam questions

GamesLearn through free games