Question

if a figure AB and CD are two diameters of a circle (with center o) perpenticular to each other and OD is the diameter of the smaller circle . OA = 7cm then find the area of the shaded region

Answer 1

Step-by-step explanation:

Area of Shaded region =2× Area of segment BC (or Segment AC) + Area of circle with diameter DO

Since, DO=OC=BO=AO=7cm

∴ Area of segment BC = Area of quadrant BOC − Area of △ BOC

=(

4

π×7×7

)−(

2

1

×7×7)

=14cm

2

Area of circle with diameter OD =π×3.5×3.5

=38.5cm

2

∴ Area of Shaded region =2×14+38.5=66.5cm

2

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