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Trava [24]
3 years ago
8

A triangle is placed in a semicircle with a radius of 2 yd, as shown below. Find the area of the shaded region. Use the value 3.

14 for pie, and do not round your answer. Be sure to include the correct unit in your answer.
Mathematics
1 answer:
Nataly [62]3 years ago
8 0

Answer:

A_s=2.28yd^2

Step-by-step explanation:

From the question we are told that:

Radius r=2yd

Pie \pi=3.14

Generally the equation for Area of the shaded part (A_s) is mathematically given by

A_s=Area\ of\ semi-circle(A_c)-Area\ of\ triangle(A_t)

Generally the equation for Area of semi-circle is mathematically given by

 A_c=\frac{1}{2}\pi r^2

 A_c=\frac{1}{2}*(3.14) (2)^2

A_c=6.28yd^2

Generally the equation for Area of triangle is mathematically given by

 A_t=\frac{1}{2} base*height

 A_t=\frac{1}{2} (2+2)*2

 A_t=4yd^2

Therefore Area of the shaded part (A_s)

 A_s=A_c-A_t

 A_s=6.28yd^2-4yd^2

 A_s=2.28yd^2

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