Respuesta :

mhanifa

Answer:

  • 11.26 cm²

Step-by-step explanation:

The shaded region is the difference of areas of semicircle AB and triangle ABC.

ABC is right triangle as AB is diameter, so C is right angle.

Area of semicircle:

  • A = 1/2πr² = 1/2*3.14*4² = 25.12 cm²

Area of triangle:

  • A = 1/2BC*AC = 1/2*4*[tex]\sqrt{8^2-4^2}[/tex] = 2[tex]\sqrt{48}[/tex] = 13.86 cm²

Shaded are is:

  • 25.12 - 13.86 = 11.26 cm²

Answer:

The area of shaded region is 11.26 cm²

step-by-step explanation

Area of semicircle = 1/2 π r ²

= 1/2 × 3.14 × ( 4 cm )²

= 25.12 cm²

Area of triangle = 1/2 × base × height

= 1/2 × BC × AC

[tex] \small \sf = 1/2× \sqrt{8 {}^{2} - 4 {}^{2} } [/tex]

2 × √48

= 13.86 cm²

Area of shaded region = 25.12 - 13.86

= 11.26 cm²

Hence , shaded region is 11.26 cm ².

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