Question 1
SSC-CGL 2020 Mar 3 Shift 1
Chords AB and AC subtend angles of 110° and 130° at the center of a circle as shown. The angle BAC = ?
Solution in Brief
Let O be the center of the circle. Angle BOC = 360° - (110° + 130°) = 120°, which gives the angle on the arc as BAC = 120°/2 = 60° answer!
Solution in Detail
REMEMBER: The angle subtended by an arc at the center of a circle is double that of the angle that the arc subtends at any other given point on the circle.Adding angles at the center,
+ + =
subtended
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