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°.
An arc of a circle subtends an angle of 70° at the centre. What is the measure of the angle subtended by the arc at a point on the circle?
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According to the theorem on the angle subtended by an arc, the angle subtended by an arc at the centre is twice the angle subtended by the same arc at any point on the circle.
Given central angle = 70°
Therefore, angle at a point on the circle = 70° / 2 = 35°.
Hence, the measure of the angle subtended by the arc at a point on the circle is 35°.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 5 I’m Up and Down and Round and Round (2026-27):
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