if the angle between two tangents drawn from an external point P to a circle of radius a and Centre O is 60 degree then find the length of OP
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length.... of.. op = 2a
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Given : Two tangents PA and PB are drawn external point P, radius or OA or OB=a and the angle O =60°
To prove that :OP=?
construction : Join Point O and A
proof : In Δ OAP
angle O=60° and OA=a
using cos ratio
cos Φ =Perpendicular /Hypotence
cos 60°=OA/OP
1/2=a/OP
OP=2a
Hence the length of OP is 2a
To prove that :OP=?
construction : Join Point O and A
proof : In Δ OAP
angle O=60° and OA=a
using cos ratio
cos Φ =Perpendicular /Hypotence
cos 60°=OA/OP
1/2=a/OP
OP=2a
Hence the length of OP is 2a
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