Question

Find length of a tangent drawn to a circle of radius 4cm from an external point 10cm away from the center?

Answer 1

Hey mate,

△ORP ia a right angle triangle

∴ By using pythagoras theorem.

OP^2=OR^2+RP^2

(5)^2=(4)^2+(RP)^2

25=16+(RP)^2

(RP)^2=25−16

(RP)^2=9

RP=3cm

hope this helps you out!

Answer 2

A) 3cm3cm


Description for Correct answer:
According to question



△ORP△ORP ia a right angle triangle

∴∴ By using pythagoras theorem.

OP2=OR2+RP2OP2=OR2+RP2

(5)2=(4)2+(RP)2(5)2=(4)2+(RP)2

25=16+(RP)225=16+(RP)2

(RP)2=25−16(RP)2=25−16

(RP)2=9(RP)2=9

RP=3cm