Find Area of Circle Segments: Chord Length 4cm, Radius 3.3cm

[MASH4077]

A chord of length 4cm divides a circle of radius 3.3cm into two segments. Find the area of each segment.

I've managed to workout the area of one of the segments (approx 1.84 cm^2). This is the correct solution given in my answer booklet.

The second segment area would therefore be 2*pi*(3.3)^2 - 1.84 = 66.58 cm^2.

But my answer booklet says its: 32.38 cm^2.

Can someone point me in the right direction on this one because I'm completely lost.

Thanks.

Oops, I've just realized.. wrong equation for the area of a circle. Don't bother with this question.

 

[cyby]

Why did you do 2*pi*r^2 for the area of the second segment?

 

[zgozvrm]

Draw the radius lines to each end of the chord. This creates an isosceles triangle.
You should be able to determine both the area of the triangle and the angle between the radius lines.

Use that information to determine the area of the segment bounded by the chord.