A chord with a length of $3$ runs from $pi/12$ to $pi/6$ radians on a circle. What is the area of the circle?

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Answer 1 · 2016-08-22T16:00:14

$=412.52$

A chord travels $pi/6-pi/12=pi/12$ radians of the Circle

In other words chord travels $pi/12-:2pi=1/24 th$ of Circumference

Circumference $=2pir$ where $r=radius$

Therefore we can write

Length of the Chord $=3=(2pir)/24$

or

$2pir=3times24$

or

$r=72/(2pi)$

or

$r=11.46$

Area of the Circle $=pir^2$

$=pi(11.46)^2$

$=412.52$

A chord with a length of 3 3 runs from pi/12 pi/12 to pi/6 pi/6 radians on a circle. What is the area of the circle?