Q2 of 12 Page 111

The measure of the minor arc of a circle is 160°. Hence, find the measures of the corresponding central angle and the corresponding major arc.

If the m(minor arc) is 160°


The measure of the corresponding central angle


m(minor arc) = central angle


Central angle = 160°


⇒ Measure of the major arc =


360°- measure of the corresponding minor arc


∴ m(major arc) = 360°-160°


= 200°


More from this chapter

All 12 →
1

In the figure, seg SD and seg TN are diameters. Name those minor arcs, major arcs and semicircular arcs whose endpoints are also the endpoints of these diameters.

 1

If the measure of a central angle is 120°, find the measure of the corresponding minor arc and that of the major arc corresponding to this minor arc.

 3

In the figure, seg PN and seg TC are the diameters of a circle. Write the measures of the arcs formed by the endpoints of these diameters and explain your answers.

 1

Observe the figure given alongside and fill in the blanks. The ∠PML is inscribed in the arc …………. and the ∠TNL in the arc ……….