Multiple Choice Questions

A smaller circle touches a bigger circle internally and also passes through the center 39 O 39 of th...........

Quantitative Aptitude (MTS) Mensuration 2D

A smaller circle touches a bigger circle internally and also passes through the center 'O' of the bigger circle. If the area of the

smaller circle is 192 cm² , the area of the bigger circle (in cm²) is:

This questions was previously asked in

SSC MTS 5th July 2022 Shift-3

768

384

1024

720

- A smaller circle touches a bigger circle internally and its circumference passes through the center 'O' of the bigger circle.

- The radius of the bigger circle will be twice the radius of the smaller circle due to this geometric positioning.

- The area of the smaller circle is given as 192 cm².

- The formula for the area of a circle is A = pr².

- Calculate the radius (r) of the smaller circle: r² = 192/p.

- The radius of the bigger circle is 2r.

- Hence, the area of the bigger circle is A = p(2r)² = 4pr² = 4 * 192 = 768 cm².

Option: 1 - 768 is the correct answer.

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