Question

If A, B, C and D are 4 consecutive points on a circle such that chords
AB = BC = CD = 10cm and AD = 20cm.
Find radius of the circle. ​

Answer 1

Given that AB = BC = CD = 10cm and AD = 20cm, find radius of the circle

Explanation:

• case 1, BD = √100 + 100  = 10√2  
• now diameter is 10√2
• and the radius is 5√2  
• Now case 2  
• AC = √100 + 400  = √500  = 10√5
• radius = 5√5