Question 28 of 50beginner🔧 ApplyVery Short1 mark

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?

Correct Answer

35°

Exercise: END-OF-CHAPTER EXERCISES | Q: 2 | (Page 23)
For More Understanding

Explanation

According to Theorem 9 provided in the context, the angle subtended by an arc at the centre of the circle is double the angle subtended by the arc at any point on the circle outside the arc. Therefore, the angle at the point on the circle is exactly half of the angle subtended at the centre.

Solution Steps

  1. Step 1: According to Theorem 9, the angle subtended by an arc at the centre is double the angle subtended by the arc at any point on the circle outside the arc.

  2. Step 2: Given the angle at the centre = 70°. Therefore, the angle at a point on the circle = 70° / 2 = 35°.

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