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Question

A momento is made as shown in the figure. Its base PBCR is silver plated from the front side. Find the area which is silver plated, where AP = AR = 7 cm and PB = RC = 3 cm. (Use π=227)

  1. 8.5 cm2
  2. 9.5 cm2
  3. 10.5 cm2
  4. 11.5 cm2


Solution

The correct option is D 11.5 cm2
From the given figure,
Area of right-angled Δ ABC=12×10×10
=50 cm2
Area of quadrant 
APR of the circle of radius 7 cm
=14×π×(7)2
=14×227×49
=38.5 cm2
 Area of base 
PBCR= Area of ABC- Area of quadrant APR
=5038.5=11.5 cm2

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