Question

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

Reason (R): AB = 4 × 2r = 4 × 14 cm.

Options

• A is true, R is false.

• A is false, R is true.

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

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

Answer 1

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

Explanation:

Since BC = 14 cm represents the diameter (2r) of the circles, the length AB spanning 4 circles is \[4 \times 2r = 4 \times 14\text{ cm}\]. Thus, both Assertion A and Reason R are true, with R providing the correct derivation.