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!
+128406 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
