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Question
In a circle with centre O, the measure of a minor arc is 110°. What is the measure of the major arc PYQ?
Solution
Suppose PQ is the minor arc and then m(arc PQ) = 110°.
We know that, measure of major arc = 360° − measure of the corresponding minor arc.
∴ m(arc PYQ) = 360° − m(arc PQ)
= 360° − 110°
= 250°
Hence, the measure of major arc PYQ is 250°.
RELATED QUESTIONS
Some arcs are shown in the circle with centre ‘O’. Write the names of the minor arcs, major arcs, and semicircular arcs from among them.
Find the central angle of the shaded sectors (each circle is divided into equal sectors).
| Sectors |  |
 |
 |
 |
| Central angle of each sector (θ°) |
Find the central angle of the sectors whose measures are given below. `(π = 22/7)`
area = 462 cm2, r = 21 cm
Find the central angle of the sectors whose measures are given below. `(π = 22/7)`
length of the arc = 44 m, r = 35 m
