Area of the region common to two intersecting circles using the cosine rule and segment areas
Area of the region common to two intersecting circles using the cosine rule and segment areas
IB Year 6 | Grade 12
6 marks
A circle with centre \(M\) and radius \(4\text{ cm}\) and a circle with centre \(N\) and radius \(7\text{ cm}\) cross each other at \(H\) and \(K\), where \(MN=8\text{ cm}\). The region lying inside both circles is shaded.
Calculate the shaded area, correct to \(3\) significant figures.[6]
Solution:
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Answer:\(14.7\text{ cm}^2\) (3 s.f.)
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