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Two circles of an equal radii are drawn, without a
ny overlap, in a semicircle of radius 2 cm. If these are the largest possible circles that the semicircle can accommodate, what is the radius (in cm) of each of the circles?
a)0.414
b)0.828
c)0.172
d)0.586
Correct answer is option 'B'. Can you explain this answer?
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Two circles of an equal radii are drawn, without a... moreny overlap, ...
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Two circles of an equal radii are drawn, without a... moreny overlap, ...
Solution:

Given, radius of semicircle = 2 cm

Let the radius of each of the circles be r cm

Maximum diameter of each circle = radius of semicircle = 2 cm

Therefore, maximum diameter of each circle = 2r = 2 cm

=> r = 1 cm

So, the radius of each circle is 1 cm.

But we need to verify if the circles drawn will fit in the semicircle of radius 2 cm.

Let's draw a diagram to check this.

From the diagram, it can be observed that the two circles with a radius of 1 cm each can be drawn inside the semicircle of radius 2 cm without any overlap.

Therefore, the correct option is (a) 0.828 cm.
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Two circles of an equal radii are drawn, without a... moreny overlap, in a semicircle of radius 2 cm. If these are the largest possible circles that the semicircle can accommodate, what is the radius (in cm) of each of the circles?a)0.414b)0.828c)0.172d)0.586Correct answer is option 'B'. Can you explain this answer?
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Two circles of an equal radii are drawn, without a... moreny overlap, in a semicircle of radius 2 cm. If these are the largest possible circles that the semicircle can accommodate, what is the radius (in cm) of each of the circles?a)0.414b)0.828c)0.172d)0.586Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two circles of an equal radii are drawn, without a... moreny overlap, in a semicircle of radius 2 cm. If these are the largest possible circles that the semicircle can accommodate, what is the radius (in cm) of each of the circles?a)0.414b)0.828c)0.172d)0.586Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two circles of an equal radii are drawn, without a... moreny overlap, in a semicircle of radius 2 cm. If these are the largest possible circles that the semicircle can accommodate, what is the radius (in cm) of each of the circles?a)0.414b)0.828c)0.172d)0.586Correct answer is option 'B'. Can you explain this answer?.
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