he shaded region in each figure:
7 cm
8 cm
(b)
Fig. 15.44 find the area of the shaded region
answer h 132 integer 11/28
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Answer:
Area of shaded region = 132 + 11/28 cm²
Step-by-step explanation:
Diameter of the big circle = (8 + 7) cm = 15 cm
Area of big circle = π × 15/2 × 15/2 cm²
= π × 225/4 cm²
= π/4 × 225 cm²
Area of semicircle with diameter 7 cm = π/2 × 7/2 × 7/2 cm²
= π/2 × 49/4 cm²
= π/8 × 49 cm²
Area of semicircle with diameter 8 cm = π/2 × 8/2 × 8/2 cm²
= π/2 × 64/4 cm²
= π/8 × 64 cm²
Area of shaded region = π/4 ( 225 - 49/2 - 64/2) cm²
= π/4 (450 - 49 - 64)/2 cm²
= π/8 × 337 cm²
= 22/7 × 337/8 cm²
= 11/7 × 337/4 cm²
= 3707/28 cm²
= 132 + 11/28 cm²
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Answer:
There is your answer...
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