The radius is half the diameter, so it is 13 cm. The perpendicular from the centre bisects the chord, giving half chord 12 cm. Hence, the distance is 5 cm.
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The angle subtended by an arc at the centre is twice the angle subtended by the same arc at any point on the circle. Therefore, the required angle is 35°.
No, we cannot conclude that CD = 2AB. According to the chapter, the longer chord is closer to the centre. Chord length depends on radius and distance from the centre, not directly on distance alone.
We express the product as (20 – 2) (30 – 1) and expand using the distributive property. Evaluating the separate numerical products step by step gives the clean final total.
The remaining balance after x days is b(x) = 600 minus 15x. The balance becomes zero after 40 days. This represents linear decay because the balance decreases by the same 15 rupees every day.