Hola, I have three study questions I need help on. Thanks

1. What is the length of YX?

2. Quadrilateral ABCD is inscribed in circle O. What is mA?

3. A circle has a radius of 5.4m. What is the exact length of an arc formed by a central angle measuring 60dg?

Express your anser using the pi symbol.

Thanks for all your help!

Guest Mar 21, 2017

#1**+2 **

I think I answered the first one, yesterday.....anyway

ZY *VY = XY^2

28 * 9 = XY^2

252 = XY^2 take the square root of both sides

sqrt (252) = XY

sqrt (36 * 7) = XY

6sqrt(7) = XY ≈ 15.87

2. The sum of Angles B and D = 180

So

2x + 3x - 5 = 180

5x - 5 = 180 add 5 to both sides

5x = 185 divide both sides by 5

x = 37

And A = x + 5 = 37 + 5 = 42°

3. 60 degrees is (1/6) of the circle's circumference....so..

The arc length is 2 pi r / 6 = 2 pi (5.4) / 6 = (10.8 / 6) pi = (1.8)pi meters

CPhill
Mar 21, 2017