A chord with a length of $16$ runs from $pi/8$ to $pi/2$ radians on a circle. What is the area of the circle?

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Answer 1 · 2016-05-14T19:07:51

area $~~651.406" units"^2" "$ to 3 decimal places

Tony B

Known: $" " rsin(1/2xx(3pi)/8)=16/2$

$=> r=8/(sin((3pi)/16))$

Known: $" area"=pir^2$

Thus area $=pixx8^2/([sin((3pi)/16)]^2)$

Thus area $~~651.406" units"^2" "$ to 3 decimal places

A chord with a length of 16 16 runs from pi/8 pi/8 to pi/2 pi/2 radians on a circle. What is the area of the circle?