Question

If EF = HG and HG = 16, find the diameter of K

Answer 1

The diameter of K would be 20. 

Answer 2

Diameter of the circle K = 20 units

Explanation:

Given that : EF = HG

Also, HG = 16 units

⇒ EF = 16 units

Now, any line drawn perpendicular to the chord always bisects the chord

⇒ KI will bisect the chord EF

⇒ EI = 8 units

Now, in ΔEIK using Pythagoras theorem we have :

⇒ EK² = 8² + 6²

⇒ EK² = 100

⇒ EK = 10 units

So, Radius of the circle K = 10 units

Now, Diameter of the circle K = 2 × 10

= 20 units