Question

Calculate the shaded area.
Answer = 428cm².

Please give a proper step-by-step solution

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Answer 1

Given that

$\bold{\angle{ACB =90⁰}}$

BC= 12 cm

AC = 16 cm

⁣           ${\boxed{\sf{\red{by Pythagoras theorem}}}}$

h²=b²+p²

h²=16²+12²

h²=256+144

h²=400

h=20cm

• area of triangle ABC= 1/2 Base× height

⁣           ⁣      ⁣    =1/2 ×16×12

⁣           ⁣      ⁣     =96 cm²

• area of circle = πr²

⁣           ⁣⁣     = 3.14×10×10

⁣          ⁣     ⁣ =314cm²

• half area of triangle= 314/2

⁣           ⁣ ⁣        =157cm²

area of shaded area = area of semicircle -area of triangle

area of shaded area= 157-96

area of shaded area= 60 cm²

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For More Information

• Area of circle= πr²
• area of rhombus=pq/2
• area of rectangle= 2(l+b)
• area of Square= (side)²

Answer 2

Given that

\bold{\angle{ACB =90⁰}}∠ACB=90⁰

BC= 12 cm

AC = 16 cm

⁣           

by Pythagoras theorem

h²=b²+p²

h²=16²+12²

h²=256+144

h²=400

h=20cm

area of triangle ABC= 1/2 Base× height

⁣           ⁣      ⁣    =1/2 ×16×12

⁣           ⁣      ⁣     =96 cm²

area of circle = πr²

⁣           ⁣⁣     = 3.14×10×10

⁣          ⁣     ⁣ =314cm²

half area of triangle= 314/2

⁣           ⁣ ⁣        =157cm²

area of shaded area = area of semicircle -area of triangle

area of shaded area= 157-96

area of shaded area= 60 cm²