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Dafna1 [17]
3 years ago
12

HELPPPPP! WILL Give BRAINLIEST! 100 POINTS! Please get it correct!

Mathematics
2 answers:
Reika [66]3 years ago
7 0

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

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

2 × √48

= 13.86 cm²

Area of shaded region = 25.12 - 13.86

= 11.26 cm²

Hence , shaded region is 11.26 cm ².

Leno4ka [110]3 years ago
4 0

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.

<u>Area of semicircle:</u>

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

<u>Area of triangle:</u>

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

<u>Shaded are is:</u>

  • 25.12 - 13.86 = 11.26 cm²
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