Advertisements
Advertisements
Question
In the given figure, O and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x.
Advertisements
Solution
It is given that
Two circles having center O and O' and ∠AOB = 130°
And AC is diameter of circle having center O
We have
`angle ACB =1/2 angleAOB = 65°`
So
`angleDCB = 180° - angleACB`
= 180° - 65°
= 115°
Now, reflex `angleBO'D = 2 angleBCD`
So
`360° - x° = 2 xx 115 `
= 230°
APPEARS IN
RELATED QUESTIONS
In the given figure, ∠ABC = 69°, ∠ACB = 31°, find ∠BDC.
Fill in the blank:
A circle divides the plane, on which it lies, in ............ parts.
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
In the given figure, O is the centre of a circle and PQ is a diameter. If ∠ROS = 40°, find ∠RTS.
In the given figure, two congruent circles with centres O and O' intersect at A and B. If ∠AOB = 50°, then find ∠APB.
If the given figure, AOC is a diameter of the circle and arc AXB = \[\frac{1}{2}\] arc BYC. Find ∠BOC.
In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are
The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle is
A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segment.
