Exam-Style Question on Circle
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 415. This question is similar to one that appeared on an IB Standard paper in 2003. The use of a calculator is allowed.
The diagram below shows an isosceles right-angled triangle and two arcs of circles. The larger arc is part of a circle with its centre at D and the smaller arc is part of a circle with its centre at A.
The right-angled triangle has two sides of length 10cm.
The point D is the midpoint of BC.
(a) Calculate the area of the red segment.
(b) Calculate the area of the yellow region.
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