Find the length of a chord 3cm from the centre of a circle of radius 5cm

Find the length of a chord 3cm from the centre of a circle of radius 5cm

Answer Details

Using pythagoras formula:

Hyp2 ${}^{\mathrm{<br>}}$ = adj2 ${}^{\mathrm{<br>}}$ + opp2 ${}^{\mathrm{<br>}}$

52 ${}^{\mathrm{<br>}}$ = opp2 ${}^{\mathrm{<br>}}$ + 32 ${}^{\mathrm{<br>}}$

52 ${}^{\mathrm{<br>}}$ - 32 ${}^{\mathrm{<br>}}$ = adj2 ${}^{\mathrm{<br>}}$

4 = adj

length of the chord = 2 * 4 = 8cm