1.

The figure is made up of a rectangle and a triangle. Find the area of the shaded part.

Answer»

AC is the diameter of the circle.In the right angled triangle ADC, we haveAC 2 =AD 2 +DC 2 (Pythagoras theorem)AC 2 =5 2 +12 2 AC 2 =25+144AC 2 =169AC=13 cmRadius of the circle = 2AC = 213 =6.5 cmArea of the SHADED part = Area of the circle − Area of the rectangle = πr 2 −lb = 3.14×6.5 2 −(5×12) =132.665−60 =72.665 cm 2



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