Advertisements
Advertisements
प्रश्न
If O is the centre of the circle, find the value of x in the following figure:

Advertisements
उत्तर
∠AOC= 135°
∴∠AOC+ ∠BOC -180°
⇒ 135° + ∠BOC = 180°
⇒∠BOC = 180° -135° = 45°
By degree measures theorem
∠BOC = 2∠CDB
⇒ 45° = 2x
`⇒x=(45°)/2=22(1°)/2.`
APPEARS IN
संबंधित प्रश्न
Fill in the blank:
Segment of a circle is the region between an arc and .................. of the circle.
Prove that the line joining the mid-point of a chord to the centre of the circle passes through the mid-point of the corresponding minor arc.
If O is the centre of the circle, find the value of x in the following figure:

If O is the centre of the circle, find the value of x in the following figure

If O is the centre of the circle, find the value of x in the following figures.

In the given figure, two circles intersect at A and B. The centre of the smaller circle is Oand it lies on the circumference of the larger circle. If ∠APB = 70°, find ∠ACB.

In the given figure, if O is the circumcentre of ∠ABC, then find the value of ∠OBC + ∠BAC.

In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are
If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD.
A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment.
