2023 · Q77
Item contains a Question followed by two Statements. Answer each item using the following instructions : Question : What is the area of the circle C?
Statement IAn arc of length 7 cm subtends an angle 30° at the centre of C.
Statement IIA chord of length 10 cm subtends an angle 90° at the centre of C.
Elementary MathematicsCircles
- AChoose this option if the Question can be answered by one of the Statements alone but not by the other.
- BChoose this option if the Question can be answered by either Statement alone.
- CChoose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- DChoose this option if the Question cannot be answered even by using both Statements together.
Explanation
Statement I: an arc of 7 cm subtending 30° gives circumference 7 × 12 = 84 cm, fixing r and hence the area alone. Statement II: a chord of 10 cm subtending 90° gives r = 10/√2 = 5√2, fixing the area as 50π alone. Either statement suffices (B).