1. The value of DG is 9
2. The perimeter of the shape is 34
1. Since the centre of the circle is G. The radius of a circle is the line form the center to any part of the circumference.
Therefore;
GF and DG are both radii
DG = GF
therefore
DG = x - 2
To find the value of x
2x - 4 = x + 7
2x - x = 7 + 4
x = 11
DG = 11-2 = 9
2. NP = 2
KL = 5
JR = 3
QP = 7
this is because the tangents of a circle from the same point on the circle are equal
Perimeter = 9 + 7 + 8 + 10
= 34