plzz explain how the answer is 5 cm
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as AB is the radius and P is a point on the circumference.
therefore, the angle subtended by the diameter is 90°.
also,
4AP = 24 cm
AP = 6cm
3PB = 24cm
PB = 8cm
now,
ABP is a right angled triangle.
applying Pythagoras theorem in APB.
AP^2+ BP^2 = AB^2
6^2 + 8^2=AB^2
36+64 = AB^2
AB^2 = 100
AB = 10 cm
now,
AB =2AO
10=2AO
AO= 5cm
therefore, the radius is 5 cm
therefore, the angle subtended by the diameter is 90°.
also,
4AP = 24 cm
AP = 6cm
3PB = 24cm
PB = 8cm
now,
ABP is a right angled triangle.
applying Pythagoras theorem in APB.
AP^2+ BP^2 = AB^2
6^2 + 8^2=AB^2
36+64 = AB^2
AB^2 = 100
AB = 10 cm
now,
AB =2AO
10=2AO
AO= 5cm
therefore, the radius is 5 cm
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