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Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 441 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?
- a)354.5
- b)346.5
- c)316.5
- d)312.5
- e)None of the Above
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Circumference of a circle A is 22/7 times perimeter of a square. Area ...
Area = 441 cm²
a = 21 cm
Perimeter of Square = 4 * 21
Circumference of a Circle = 4 * 21 * 22/7
2πr = 4 * 3 * 22
r = 12 * 22 * 7 / 2 * 22 = 42 cm
Radius of Circle B = 42/4 = 10.5 cm
Area of Circle = πr² = 22/7 * 10.5 * 10.5 = 346.5 cm²
a = 21 cm
Perimeter of Square = 4 * 21
Circumference of a Circle = 4 * 21 * 22/7
2πr = 4 * 3 * 22
r = 12 * 22 * 7 / 2 * 22 = 42 cm
Radius of Circle B = 42/4 = 10.5 cm
Area of Circle = πr² = 22/7 * 10.5 * 10.5 = 346.5 cm²
Most Upvoted Answer
Circumference of a circle A is 22/7 times perimeter of a square. Area ...
Area of square=441 cm2
i.e. (side)2=441 cm2
side=21cm
Circumference of circle A=2πr
Perimeter of square(p)=4*side=(4*21)cm=84cm
According to question,
Circumference of A=22/7 of p
i.e. 2πr=(22/7)*84
2(22/7)*r=(22/7)*84
2r=84
r=42cm
let radius of B be 'R',
Diameter of B=(1/2) of radius of A
Diameter of B=(1/2)*42=21cm
R=(21/2)cm
Area of Circle B=πR2
=(22/7)*(21/2)*(21/2)cm2
hence on calculating the above solution we
get that area of circle B=346.5
i.e. option b).
thanking you if you understand it so plzzz follow me.
i.e. (side)2=441 cm2
side=21cm
Circumference of circle A=2πr
Perimeter of square(p)=4*side=(4*21)cm=84cm
According to question,
Circumference of A=22/7 of p
i.e. 2πr=(22/7)*84
2(22/7)*r=(22/7)*84
2r=84
r=42cm
let radius of B be 'R',
Diameter of B=(1/2) of radius of A
Diameter of B=(1/2)*42=21cm
R=(21/2)cm
Area of Circle B=πR2
=(22/7)*(21/2)*(21/2)cm2
hence on calculating the above solution we
get that area of circle B=346.5
i.e. option b).
thanking you if you understand it so plzzz follow me.
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Community Answer
Circumference of a circle A is 22/7 times perimeter of a square. Area ...
To find the circumference of circle A, we need to know the perimeter of the square. Since the area of the square is given as 441 cm², we can find the side length of the square by taking the square root of the area.
Let's calculate the side length of the square:
√441 = 21 cm
The perimeter of the square is equal to 4 times the side length:
Perimeter of the square = 4 * 21 = 84 cm
Now, we can find the circumference of circle A by multiplying the perimeter of the square by 22/7:
Circumference of circle A = (22/7) * 84 = 264 cm
Therefore, the circumference of circle A is 264 cm.
Let's calculate the side length of the square:
√441 = 21 cm
The perimeter of the square is equal to 4 times the side length:
Perimeter of the square = 4 * 21 = 84 cm
Now, we can find the circumference of circle A by multiplying the perimeter of the square by 22/7:
Circumference of circle A = (22/7) * 84 = 264 cm
Therefore, the circumference of circle A is 264 cm.
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Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 441 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?a)354.5b)346.5c)316.5d)312.5e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
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Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 441 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?a)354.5b)346.5c)316.5d)312.5e)None of the AboveCorrect 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 Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 441 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?a)354.5b)346.5c)316.5d)312.5e)None of the AboveCorrect 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 Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 441 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?a)354.5b)346.5c)316.5d)312.5e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
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