Question

Radius of a circle is 10 cm and distance of a chord from the centre is 6 cm. Hence the length of the chord is ________________ *

2 points

16 cm

8 cm

12 cm

32 cm

​

Answer 1

Answer:

length of chord is 16cm

Step-by-step explanation:

OP =6cm

OA=OB = 10cm

using Pythagoras in triangle OAP

${oa}^{2} = {ap}^{2} + {op}^{2}$

${10}^{2} = {ap}^{2} + {6}^{2}$

$100 - 36 = {ap}^{2}$

$\sqrt{64} = ap$

$8 = ap$

AB= 2ap

AB = 2×8

AB = 16cm