Ben Looi's answer to Varsha's Junior College 2 H2 Maths Singapore question.
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Always spot for ways to form right angle triangles with derivable or known length of sides.
Chord AB splits QR into half, as both are circles with same radius. Hence, QR is 4cm, and QS is 1/2 of 4cm.
AQ is 4cm, the radius of circle. From here, you can work out AS with a² + b²= c². which will be Sqrt of 12.
Here on, you can find angle AQS, then multiply by 2 to get angle AQB.
From this point on, you can apply the area of segment formula minus the area of triangle, then x 2 to find area of shaded part.
Chord AB splits QR into half, as both are circles with same radius. Hence, QR is 4cm, and QS is 1/2 of 4cm.
AQ is 4cm, the radius of circle. From here, you can work out AS with a² + b²= c². which will be Sqrt of 12.
Here on, you can find angle AQS, then multiply by 2 to get angle AQB.
From this point on, you can apply the area of segment formula minus the area of triangle, then x 2 to find area of shaded part.
Date Posted:
6 years ago
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