Four identical circles of radius 4 cm each touch each other externally. The area of the region bounded by the four circles (in cm2) isa)16 andpi;b)4(4 andndash; andpi;)c)16(4 andndash; andpi;)d)64(4 andndash; andpi;)Correct answer is option 'C'. Can you explain this answer?

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Four identical circles of radius 4 cm each touch each other externally. The area of the region bounded by the four circles (in cm²) is

a)
16 π
b)
4(4 – π)
c)
16(4 – π)
d)
64(4 – π)

Correct answer is option 'C'. Can you explain this answer?

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Four identical circles of radius 4 cm each touch each other externally...

Area of a square = side²

Area of a circle = πr²

The radius of each circle in the figure (r) = 4 cm.

We have constructed a square by joining the centers of 4 circles.

∴ Each side of the square = (4+4) cm. = 8 cm.

Now, if we consider any one of the circles it is clearly visible that the square includes ¼ th of each circle.

Now total area of all circles included inside the square

= 4 × [¼ × area of one circle]

= area of one circle

= 16 × π cm² [∵ area of circle = π × r²]

The area of the square = 8² = 64 cm²

From the figure, the area of the region bounded by the four circles = the area of the square - total area of all circles included inside the triangle

⇒ The area of the region bounded by the four circles:

= [64 - 16 × π] cm.²

= 16 × [4 – π] cm.²

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Four identical circles of radius 4 cm each touch each other externally. The area of the region bounded by the four circles (in cm2) isa)16 πb)4(4 – π)c)16(4 – π)d)64(4 – π)Correct answer is option 'C'. Can you explain this answer?

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Four identical circles of radius 4 cm each touch each other externally. The area of the region bounded by the four circles (in cm2) isa)16 πb)4(4 – π)c)16(4 – π)d)64(4 – π)Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Four identical circles of radius 4 cm each touch each other externally. The area of the region bounded by the four circles (in cm2) isa)16 πb)4(4 – π)c)16(4 – π)d)64(4 – π)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four identical circles of radius 4 cm each touch each other externally. The area of the region bounded by the four circles (in cm2) isa)16 πb)4(4 – π)c)16(4 – π)d)64(4 – π)Correct answer is option 'C'. Can you explain this answer?.

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