radius = 8
diameter = 16
Explanation:
The line AB is tanget to the circle. This means angle P is a right angle.
The triangle OPQ is a right angle.
Hence, we would apply pythagorass theorem to the length OP which is the radius of the circle.
Using pythagoras' theorem:
Hypotenuse² = opposite² + adjacent²
hypotenuse = OQ = 17
adjacent = PQ = 15
opposite = OP
17² = 15² + OP²
289 = 225 + OP²
289 - 225 = OP²
64 = OP²
square root both sides:
OP = √64
OP = 8
The radius = OP = 8
diamter = 2(radius) = 2(8)
diameter = 16
The radius have a length of 8 so that means the diameter will have a length of 16
