SSC CGL Exam  >  SSC CGL Questions  >  Triangle PQR circumscribes a circle with cent... Start Learning for Free
Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is:    (SSC Sub. Ins. 2013)
  • a)
    2
  • b)
    1.5
  • c)
    2.5
  • d)
    1
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Triangle PQR circumscribes a circle with centre O and radius r cm such...

Given Information:
- Triangle PQR is circumscribing a circle with center O and radius r cm.
- ∠PQR = 90°.
- PQ = 3 cm, QR = 4 cm.

Approach:
- In a right-angled triangle, the hypotenuse is the diameter of the circumscribed circle.
- Use the Pythagorean theorem to find the value of r.

Calculation:
- As per the given information, PQ = 3 cm and QR = 4 cm.
- In right triangle PQR, by Pythagorean theorem, we have: PR² = PQ² + QR²
- PR² = 3² + 4²
- PR² = 9 + 16
- PR² = 25
- PR = 5 cm (since PR > 0)
- The diameter of the circumscribed circle is equal to the length of the hypotenuse PR.
- Therefore, the diameter = 2r = 5 cm
- Solving for r, we get: r = 5 / 2 = 2.5 cm

Therefore, the value of r is 2.5 cm, which corresponds to option 'c'.
Free Test
Community Answer
Triangle PQR circumscribes a circle with centre O and radius r cm such...
PR2 = PQ2 + PR2 = 32 + 42 = 25
∴ PR = √25 = 5 cm

Explore Courses for SSC CGL exam

Top Courses for SSC CGL

Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)a)2b)1.5c)2.5d)1Correct answer is option 'D'. Can you explain this answer?
Question Description
Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)a)2b)1.5c)2.5d)1Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)a)2b)1.5c)2.5d)1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)a)2b)1.5c)2.5d)1Correct answer is option 'D'. Can you explain this answer?.
Solutions for Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)a)2b)1.5c)2.5d)1Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)a)2b)1.5c)2.5d)1Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)a)2b)1.5c)2.5d)1Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)a)2b)1.5c)2.5d)1Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)a)2b)1.5c)2.5d)1Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)a)2b)1.5c)2.5d)1Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

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