A circle has a chord that goes from $( pi)/2$ to $(5 pi) / 4$ radians on the circle. If the area of the circle is $196 pi$ , what is the length of the chord?

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Answer 1 · 2017-12-04T21:39:56

See explanation.

From the given area we can calculate that the radius is:

$r=sqrt(196)=14$

The angle of chord is:

$(5pi)/4-pi/2=(5pi)/4-(2pi)/4=(3pi)/4$

The length can now be calculated as:

$L=alpha*r=(3pi)/4*14=21/2pi$

A circle has a chord that goes from ( pi)/2 ( pi)/2 to (5 pi) / 4 (5 pi) / 4 radians on the circle. If the area of the circle is 196 pi 196 pi , what is the length of the chord?