Can you do these difficult geometry questions?1.2.3.
3.
Angle XTA = 180 - 47 = 133
Angle XUA = 180 - 65 = 115
Minor arc TA = 2*47 = 94
Minor arc UA = 2*65 = 130
Arc TU = 360 - 94 - 130 = 136
Angle TAU = 136 / 2 = 68
Angle QXR = 360 - 133 - 115 - 68 = 44
1. Call the center of the circle O
[AOP ] = (1/2) (2)(4) = 4
OP = sqrt [ 4^2 + 2^2] = sqrt [ 20 ] = 2sqrt 5
Height of triangle AOP can be found as
4 = (1/2) 2 sqrt 5 * h
h = 4/sqrt 5 = AB / 2
AB = 2 * 4/sqrt 5 = 8 / sqrt 5
