draw a circle of radius 4 cm and construct a pair of tangent to the circle from a point 8 cm away from the centre
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Step-by-step explanation:
Step 1 : Take a point Call it O as center
Step 2 : Using compass taking length = 4 cm and O as center draw a circle
Step 3 : take any point P at 8 cm away from Center O
Step 4 : Join OP
Let say PQ & PR are tangents to be drawn
OQ = OR = Radius
Tangent => 90 deg
OP = 8 cm
=> Cos ∠POQ = Cos∠POR = OQ/OP = OR/OP = 4/8 = 1/2
=> ∠POQ = ∠POR = 60°
Step 5 :Draw angle of 60 deg at PO at point O both sides
Step 6 : extend it till it touches circles at point Q & R
Step 7 : Join PQ & PR
PQ & PR are required Tangents
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