Mathematics
In the figure (ii) given below, area of △ABC = 35 cm2. Find the area of the shaded region.
![In the figure, area of △ABC = 35 cm^2. Find the area of the shaded region. Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.](https://cdn1.knowledgeboat.com/img/mla9/q20b-c16-ex-16-3-mensuration-ml-aggarwal-solutions-icse-class-9-939x529.png)
Mensuration
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Answer
From figure,
Area of △ABC = base × height
Substituting values we get,
⇒ AB × CD = 35
⇒ AB × 5 = 35
⇒ AB = = 14 cm.
From figure,
AB is the diameter of semicircle.
Radius = = 7 cm.
Area of semi-circle =
= 11 × 7
= 77 cm2.
Area of shaded region = Area of semi-circle - Area of △ABC
= 77 - 35
= 42 cm2.
Hence, area of shaded region = 42 cm2.
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