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Veronika [31]
3 years ago
14

Angle C is inscribed in circle O. AB is a diameter of circle O. What is the radius of circle O?

Mathematics
1 answer:
vova2212 [387]3 years ago
4 0

Answer:

radius = 5 units

Step-by-step explanation:

leg lengths of 6 and 8

AC = 6

BC = 8

Notice that since AB = diameter of circle and that C is inscribed in circle O

angle C = 90 degrees

triangle ABC is a right triangle

(AB )^2 = (AC)^2  + (BC)^2   by Pythagorean theorem

so

(AB)^2 = 6^2  +  8^2  =  36 + 64 = 100

AB = square root of 100 = 10

so AO = (1/2) *AB = (1/2)*10 = 5

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