Question

Anyone know how to find the radius when given this?

Answer 1

• The radius is 26 units

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As per given, the distance from the center to both of the chords is same, therefore both chords have same length:

• JK = ML

• 4x = 6x - 24
• 6x - 4x = 24
• 2x = 24
• x = 12

The length of each chord is:

• 4*12 = 48 units

Use Pythagorean theorem to find the radius, the distance from the center to one end of the chord:

• 
  `QM=√(QP^2+MP^2)`

• 
  `QM=√(10^2+(48/2)^2)=√(100+576)=√(676) =26\ units`