A chord with a length of $4$ runs from $pi/12$ to $pi/3$ radians on a circle. What is the area of the circle?

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Answer 1 · 2018-01-24T14:42:23

Area of the circle $A_c = color (purple)(25.1327)$ #

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Given : Chord length $d = 4$

$delta = pi/3 - pi/12 = pi/4$

$R = d / (2 * sin delta) = 4 / (2 * sin (pi/4)) = 2sqrt2$

Area of circle $A_c = pi R^2 = pi * (2sqrt2)^2 = 8pi = color (purple)(25.1327)$

A chord with a length of 4 4 runs from pi/12 pi/12 to pi/3 pi/3 radians on a circle. What is the area of the circle?