In the following figure, point O is the centre of the circle, \(\angle AOB = 100^\circ\). Complete the following activity with the help of given figure.[Figure: circle with centre O; X and Y are the points where the vertical diameter meets the circle…

Q.2 (A)(iii) In the following figure, point O is the centre of the circle, \(\angle AOB = 100^\circ\). Complete the following activity with the help of given figure.

[Figure: circle with centre O; X and Y are the points where the vertical diameter meets the circle, Y at the top and X at the bottom; A is on the lower-left of the circle and B on the lower-right, with \(\angle AOB = 100^\circ\) marked at O; A and B are joined to O.]

Activity :

Type of arc	Name of the arc	Measure of the arc
Minor arc	____	____
Major arc	____	____

Doubtly Asked 25 Oct 2026 ssc 10th Save WhatsApp Report

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Answer: minor arc AXB, \(100^\circ\); major arc AYB, \(260^\circ\).

Type of arc	Name of the arc	Measure of the arc
Minor arc	arc AXB	\(100^\circ\)
Major arc	arc AYB	\(260^\circ\)

The measure of a minor arc equals the measure of its central angle, so \(m(\text{arc } AXB) = m\angle AOB = 100^\circ\).

The measure of a major arc is \(360^\circ\) minus the measure of the corresponding minor arc: \(m(\text{arc } AYB) = 360^\circ - 100^\circ = 260^\circ\).

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report

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In the following figure, point O is the centre of the circle, \(\angle AOB = 100^\circ\). Complete the following activity with the help of given figure.[Figure: circle with centre O; X and Y are the points where the vertical diameter meets the circle…

1 answer

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