Math, asked by amankrshaw15, 7 months ago

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Answers

Answered by tyrbylent
1

Answer:

(a). Area = 154 units², Perimeter = 80 units; (b). Area = 119 cm²

Step-by-step explanation:

(a). A = πr² ⇒ A_{semicircle} = πr²/2

A = \frac{22}{7} 14^2 = 616 units² and A_{semicircle} = 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 =

\frac{22}{7}*14 + \frac{22}{7}*7+ 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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