Chapter: Circle· Mathematics Part 2 (Geometry)
Asked in: March 2024 board paper\(\angle ABC\) is inscribed in arc ABC of a circle with centre O. If \(\angle ABC = 60^\circ\), find \(m\angle AOC\).Activity: \(\angle ABC = \dfrac{1}{2} m(\text{arc AXC})\) ...... ____; \(60^\circ = \dfrac{1}{2} m(\t…
Asked in: March 2024 board paper
\(\angle ABC\) is inscribed in arc ABC of a circle with centre O. If \(\angle ABC = 60^\circ\), find \(m\angle AOC\).
Activity: \(\angle ABC = \dfrac{1}{2} m(\text{arc AXC})\) ...... ____; \(60^\circ = \dfrac{1}{2} m(\text{arc AXC})\); ____ \(= m(\text{arc AXC})\). But \(m\angle AOC = m(\text{arc } \ldots)\) (property of central angle) \(\therefore m\angle AOC = \) ____
[Figure: circle with centre O; B on the major arc; AXC is the minor arc intercepted by \(\angle ABC\).]