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Mathematics

Assertion (A): If BC = 14 cm, AB = 14 x 4 cm

If BC = 14 cm, AB = 14 x 4 cm. Area and Perimeter of Plane, Concise Mathematics Solutions ICSE Class 9.

Reason (R): AB = 4 x 2r = 4 x 14 cm

  1. A is true, but R is false.

  2. A is false, but R is true.

  3. Both A and R are true, and R is the correct reason for A.

  4. Both A and R are true, and R is the incorrect reason for A.

Mensuration

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Answer

Given, BC = 14 cm

From figure,

Diameter (d) = 2r = 14 cm

AB has 4 circles (3 circles and 2 semi-circles).

AB = 4 x diameter of one circle = 4 x 2r = 4 x 14 cm = 56 cm.

∴ Both A and R are true, and R is the correct reason for A.

Hence, option 3 is the correct option.

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