Answer:
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The area of a sector of a circles is calculated by the equation A = πr^2 (theta/360). From the data of the sector, we determine the radius of the circle. THen, we can calculate for the area of the circle.
16.4π = πr^2 (72/360)
r = 9.06
Area of circle = πr^2
Area of circle = π(9.06)^2
Area of circle = 82π
The ratio of sides for a 30 : 60 : 90 = 1 : √3 :2.
Note the 90 degrees represent the hypotenuse, which in this case is 30 inches.
<span>1 : √3 :2 = x : y : 30
</span>
To get 1, on the left side, we simply divide 2 by 2
Similarly x = 30/2 = 15.
To get √3, on the left side, we simply multiply 1 by √3
Similarly y = 15 * √3 = 15√3
<span>Therefore the length and width respectively are </span>15 and 15√3 inches<span> </span>
