Question

find the area of shaded region​

Answer 1

You can do it!!❤️❤️But I can't really solve it I'm not good in math hehe

Answer 2

Answer:

First we need to see if all arcs are semicircular. This is not given in question but let's assume all arcs are semi-circular. (If they are not then I don't think it can be solved) Now-

Step-by-step explanation:

Pi = 3.14

Area of shaded figure = (Ar. Semi Circle ABC - Ar. Semi Circle AED) + (Ar. Semi Circle DIH - Ar. Semi Circle CJF) + (Ar. Semi Circle FGH)

1. Radius of Semi Circle AED = 7m

Hence radius= 3.5m

Ar. Semi Circle AED = 0.5×3.14×3.5m×3.5m = 19.23m^2

Diameter of Semi Circle ABC = 7m + 3.15m = 10.15m. Hence radius = 10.15m/2 = 5.075m

Now, Ar. Semi Circle ABC = 0.5×3.14×5.075m×5.075m = 40.43m^2

➡️ Ar. Semi Circle ABC - Ar. Semi Circle AED = 40.43m^2 - 19.24m^2 = 21.19m^2 1️⃣

2. Ar. Semi Circle CJF = 0.5×3.14×3.5m×3.5m = 19.23m^2

Diameter of Semi Circle DIH = 3.5m+7m+7m = 17.5m. Hence radius= 17.5m/2 = 8.75m

Ar. Semi Circle DIH = 0.5×3.14×8.75×8.75= 120.20.m^2

➡️ Ar. Semi Circle DIH - Ar. Semi Circle CJF = 120.20^2 - 19.23m^2 = 100.97m^2 2️⃣

3. ➡️ Ar. of Semi Circle FGH = 0.5×3.14×3.5×3.5= 19.23m^2 3️⃣

4. Adding 1️⃣,2️⃣ and 3️⃣

21.19m^2 + 100.97m^2 + 19.23m^2 = 141.39m^2.

Hence area of shaded part is 141.39m^2.