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21 September, 19:51

Angle C is inscribed in circle O.

AB is a diameter of circle O.

What is the radius of circle O?

+5
Answers (1)
  1. 21 September, 19:58
    0
    The radius of circle O is 8.5 Units

    Step-by-step explanation:

    Solution

    The radius of a circle is refereed to as the half of the diameter.

    Now,

    On how to figure out the length of AB, we apply the Pythagorean's equation or formula which is given below

    Thus,

    a² + b² = c²

    (15) ² + (8) ² = c²

    225 + 64 = c²

    √289 = √c²

    Then

    c = 17

    What this shows is that AB is 17 units.

    Since we have gotten the diameter, the next step is to divide into half the know the radius value

    Therefore,

    17 : 2 = 8.5 Units

    = 8.5 Units.
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