8 cm 5. Calculate the area of the designed region in Fig. 5.34 common between the two quadrants of circles of radius 8 cm each. 90° 8 cm 8 cm 90° 8 cm Answer:
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Area of shaded region =2× Area of segment BD
Considering the quadrant ABD,
Area of quadrant ABD=
π×r^2/4=1/4 ×3.14×8×8=50.24cm
Area of △ABD =
1/2×8×8=32cm
∴ Area of segment BD = Area of quadrant ABD − Area of △ABD
=50.24−32=18.24cm
∴ Area of shaded region =2×18.24=36.48cm
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