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2 answers:
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
2 × √48
= 13.86 cm²
Area of shaded region = 25.12 - 13.86
= 11.26 cm²
Hence , shaded region is 11.26 cm ².
Answer:
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* = 2 = 13.86 cm² <u>Shaded are is:</u>
25.12 - 13.86 = 11.26 cm²
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