find the area of the shaded region
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2
Answer:
area of semicircle - area of triangle
= pie r2 /2- 1/2 × base × height.
Answered by
1
Answer: 3.8125
Step-by-step explanation:
Area of semicircle= 0.5 πr^2
So, area of semicircle = 0.5*3.14*r^2
Since, r= OB
AND OB = 0.5 AB
AB^2 = AC^2 + BC^2
AB^2 = 9+16
AB= 5
So, OB=2.5=r
Area of semicircle = 0.5*3.14*2.5*2.5
Area of semicircle = 9.8125
Area of triangle ABC = 0.5*3*4
Area of trianhle ABC = 6
This imples,
Area of shaded region = Area of semicircle - Area of triangle
Area of shaded region = 9.8125-6
= 3.8125
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