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Can you do these difficult geometry questions?
1.

2.

3.

 Apr 2, 2024
 #1
avatar+128845 
+1

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

 

cool cool cool

 Apr 2, 2024
 #2
avatar+128845 
+1

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

 

 

cool cool cool

 Apr 2, 2024

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