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16 Mar 2020, 04:41
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D
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In the figure shown above, triangle ABC is inscribed in a circle, such that AC is a diameter of the circle. If line segment AB has a length of 8 and line segment BC has a length of 15, what is the circumference of the circle?
A. \(7\pi\)
B. \(9\pi\)
C. \(11\pi\)
D. \(17\pi\)
E. \(34\pi\)
Attachment:
2020-03-16_15-32-23.png [ 38.3 KiB | Viewed 3956 times ]
16 Mar 2020, 05:08
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Bunuel
Property: If a RIGHT TRIANGLE is inscribled in a circle then the Hypotenuse of triangle is equal to the Diameter of circle or Vice versa
Since AC which is hypotenuse of triangle ABC is equal to diameter therefore, Angle B must be a right angle
i.e. \(AC = √(15^2+8^2) = √(225+64) = √289 = 17\)
i.e. Radius = (17/2)
Circumference of Circile \(= π*Diameter = π*17\)
Answer: Option D
10 Apr 2023, 07:45
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