Q9 of 29 Page 61

Find the value of x in the following figures.

According to theorem that the angle which is subtended by an arc at the centre of a circle is double the size of the angle subtended at any point on the circumference.


Here angle subtended by a chord at circumference = 48°


Hence angle subtended at centre = 2x 48°


Therefore x = 96°


More from this chapter

All 29 →
9

Find the value of x in the following figures.

 9

Find the value of x in the following figures.

 10

In the figure at right, AB and CD are straight lines through the centre O of a circle. If ∠AOC = 98° and ∠CDE = 35°

find (i) ∠DCE (ii) ∠ABC


 11

In the figure at left, PQ is a diameter of a circle with centre O. If ∠PQR = 55°, ∠SPR = 25°and ∠PQM = 50°.

Find (i) ∠QPR, (ii) ∠QPM and (iii) ∠PRS.