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Directions: In the figure, X and Y are the centers of the two circles. If the area of the larger circle is 144π, what is the area of the smaller circle?
- a)72π
- b)36π
- c)24π
- d)12π
- e)6π
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Directions: In the figure, X and Y are the centers of the two circles...
Area of larger circle=144π.
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Since area= πr2, then
πr2=144π,
r2=144; r=12; radius of larger circle=12, diameter of smaller circle=12
radius of smaller circle =6
Area of smaller circle =πr2= π(6)2=36π. Hence, option is (b).
Most Upvoted Answer
Directions: In the figure, X and Y are the centers of the two circles...
First of all find the radius of big circle
πR² = 144π (given)
R² = 144
R. = 12 = diameter of small circle
then radius of small circle 6 = D/2
area of small circle = πr² = π(6²)
= 36 π ans
πR² = 144π (given)
R² = 144
R. = 12 = diameter of small circle
then radius of small circle 6 = D/2
area of small circle = πr² = π(6²)
= 36 π ans
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Directions: In the figure, X and Y are the centers of the two circles. If the area of the larger circle is 144π, what is the area of the smaller circle?a)72πb)36πc)24πd)12πe)6πCorrect answer is option 'B'. Can you explain this answer?
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Directions: In the figure, X and Y are the centers of the two circles. If the area of the larger circle is 144π, what is the area of the smaller circle?a)72πb)36πc)24πd)12πe)6πCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: In the figure, X and Y are the centers of the two circles. If the area of the larger circle is 144π, what is the area of the smaller circle?a)72πb)36πc)24πd)12πe)6πCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the figure, X and Y are the centers of the two circles. If the area of the larger circle is 144π, what is the area of the smaller circle?a)72πb)36πc)24πd)12πe)6πCorrect answer is option 'B'. Can you explain this answer?.
Directions: In the figure, X and Y are the centers of the two circles. If the area of the larger circle is 144π, what is the area of the smaller circle?a)72πb)36πc)24πd)12πe)6πCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: In the figure, X and Y are the centers of the two circles. If the area of the larger circle is 144π, what is the area of the smaller circle?a)72πb)36πc)24πd)12πe)6πCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the figure, X and Y are the centers of the two circles. If the area of the larger circle is 144π, what is the area of the smaller circle?a)72πb)36πc)24πd)12πe)6πCorrect answer is option 'B'. Can you explain this answer?.
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