please help my exam is there
Answers
Perimeter:
→ Circumference of semicircle = 1/2 * π * d
1. Consider semicircle ALC:
⇒ 1/2 * 22/7 * 7 = 11 m
2. Consider semicircle CG:
⇒ 1/2 * 22/7 * (7 + 7 + 3.5) = 27.5 m
3. Consider semicircle EFG:
⇒ 1/2 * 22/7 * 7 = 11 m
4. Consider semicircle EHB:
⇒ 1/2 * 22/7 * 7 = 11 m
5. Consider semicircle ADB:
⇒ 1/2 * 22/7 * (7 + 3.5) = 16.5 m
Perimeter of figure = 11 + 27.5 + 11 + 11 + 16.5 = 77 m
Area:
→ Area of semicircle = π * r² / 2
1. Consider shaded figure of semicircle ADB:
⇒ Area of ABD - Area of ALC
⇒ (22/7 * (5.25)² / 2 ) - (22/7 * (3.5)² /2 )
⇒ 43.3125 - 19.25 = 24.0625 m²
2. Consider shaded figure of semicircle CG:
⇒ Area of CG - Area of BHE
⇒ (22/7 * (8.75)² / 2) - (22/7 * (3.5)² / 2)
⇒ 120.3125 - 19.25 = 101.0625
3. Consider semicircle EFG:
⇒ 22/7 * (3.5)² / 2 = 19.25
Area of figure = 24.0625 + 101.0625 + 19.25 = 144.375 m²
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