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(a). Area = 154 units², Perimeter = 80 units; (b). Area = 119 cm²
Step-by-step explanation:
(a). A = πr² ⇒ = πr²/2
A = = 616 units² and = 308 units²
Area of interior semicircle is (22/7)×7² = 154 units²
Area of the shaded region is (308 - 154) = 154 units²
Perimeter of the shaded region is
(Outer circumference)/2 + (Inner circumference)/2 + 14 =
+ + 14 = 80 units.
(b). Diameter of semicircle is the base of triangle. d = AB.
r = AB/2 = (35 × 2) ÷ 5 = 14 cm
A = (22/7)×7² - 35 = 154 - 35 = 119 cm²
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