guys pls help me out
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Required Answer:-
Given to find:
- The area of shaded region.
Solution:
Here,
➡ AC = 12cm.
➡ BC = 16cm.
As ΔABC is a right angled triangle,
➡ AB² = AC² + BC²
➡ AB² = 12² + 16²
➡ AB² = 144 + 256
➡ AB² = 400
➡ AB = √400
➡ AB = 20cm.
Now, you can see that AB is the diameter of the semicircle. So,
➡ Radius = 20/2cm = 10cm.
Area of the triangle,
= 1/2 × AC × BC
= 1/2 × 12 × 16
= 12 × 8
= 96cm²
Area of the semicircle,
= πr²/2
= 3.14 × 100/2
= 314/2
= 157cm²
So, area of shaded region
= Area of the Semicircle - Area of the the Triangle
= (157 - 96) cm²
= 61cm²
Hence, the area of the shaded region is 61cm²
Answer:
- Area of the shaded region is 61cm²
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