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Consider three circular parks of equal size with centers at A1, A2, and A3 respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3 and C1C2C3 as shown. Three sprinters A, B and C begin running from points A1, B1 and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.
Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Consider three circular parks of equal size with centers at A1, A2, an...
⇒ Distance travelled by A = a = 3 × 2r = 6r.
ΔA1B1D is a 30°, 60°, 90° triangle.
So, B1D = √3r/2
⇒ B1B2 = 2r + 2 × √3r/2 = r (2 + √33)
⇒ Distance travelled by B
= b = 3 × r (2 + √3) = 3r (2 + √3)
ΔA1C1E is a 30°, 60°, 90° triangle.
So, C1E = √33r.
⇒ C1C2 = 2√3 r + 2 r = 2r (1 + √3)
⇒ Distance travelled by C = c = 3 × 2r (1 + √3) = 6r (1 + √3)
Now, b - a = 3√33r and c - b = 3√3r.
ΔA1B1D is a 30°, 60°, 90° triangle.
So, B1D = √3r/2
⇒ B1B2 = 2r + 2 × √3r/2 = r (2 + √33)
⇒ Distance travelled by B
= b = 3 × r (2 + √3) = 3r (2 + √3)
ΔA1C1E is a 30°, 60°, 90° triangle.
So, C1E = √33r.
⇒ C1C2 = 2√3 r + 2 r = 2r (1 + √3)
⇒ Distance travelled by C = c = 3 × 2r (1 + √3) = 6r (1 + √3)
Now, b - a = 3√33r and c - b = 3√3r.
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Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
Solutions for Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider three circular parks of equal size with centers at A1, A2, and A3respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3and C1C2C3as shown. Three sprinters A, B and C begin running from points A1, B1and C1respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.Q. Let the radius of each circular park be r, and the distances to be traversed by the sprinters A, B and C be a, b and c, respectively. Which of the following is true?a)b)c)d)Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Railways tests.
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