ACT Exam  >  ACT Questions  >  The circle shown below has a radius of 5 mete... Start Learning for Free
The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?
  • a)
    2√3
  • b)
    3
  • c)
    √13
  • d)
    5
  • e)
    9
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The circle shown below has a radius of 5 meters, and the length of cho...
If the length of the chord XY is 8, then the length of the segment XZ is 4.
The right triangle XCZ has a hypotenuse of 5 (equal to the radius), leg of 4, and second leg equal to the length of segment CZ. To find the length of segment CZ you can use the Pythagorean Theorem for a right triangle (c2 = a2 + b2 where c is the hypotenuse and a and b are legs):
52 = 42 + CZ2
CZ2 = 52 − 42
CZ2 = 25 − 16
CZ2 = 9
CZ = 3
Explore Courses for ACT exam

Top Courses for ACT

The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?a)2√3b)3c)√13d)5e)9Correct answer is option 'B'. Can you explain this answer?
Question Description
The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?a)2√3b)3c)√13d)5e)9Correct answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?a)2√3b)3c)√13d)5e)9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?a)2√3b)3c)√13d)5e)9Correct answer is option 'B'. Can you explain this answer?.
Solutions for The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?a)2√3b)3c)√13d)5e)9Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT. Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?a)2√3b)3c)√13d)5e)9Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?a)2√3b)3c)√13d)5e)9Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?a)2√3b)3c)√13d)5e)9Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?a)2√3b)3c)√13d)5e)9Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?a)2√3b)3c)√13d)5e)9Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice ACT tests.
Explore Courses for ACT exam

Top Courses for ACT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev