Answer:
The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.
Circle Radius = 16 / sq root (3)
Circle Radius = 9.237604307
Circle Area = PI * radius ^ 2
Circle Area = PI * 85.3333333333
Circle Area = 268.083
Equilateral Triangle area = side^2 * sq root (3) / 4
Equilateral Triangle area = 16^2 * 0.4330127019
Equilateral Triangle area = 110.85
Shaded region = 268.083 - 110.85
Shaded region = 157.233
Step-by-step explanation:
Hope this helps sorry my writing is messy
Answer:
second option
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
∠ 1 and 33° form a straight angle and are supplementary, thus
∠ 1 = 180° - 33° = 147°
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The third angle in the triangle on the left is
180° - (33 + 47)° = 180° - 80° = 100°, thus
∠ 2 = 180° - 100° = 80°
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∠ 2 and the angle in the triangle form a straight angle and are supplementary,
angle = 180° - 80° = 100°
The third angle in the triangle on the right is
180° - (100 + 48)° = 180° - 148° = 32°, thus
∠ 3 = 180° - 32° = 148° ( straight angle )
Thus
∠ 1 = 147°, ∠ 2 = 80°, ∠ 3 = 148°
Answer:155in^2
Step-by-step explanation:
Area of the poster board that she has left=Area of ||gm- area of ∆
Area of the poster board that she has left= 10*20-1/2*9*10
Area of the poster board that she has left=200-45=155in^2
