Advertisements
Advertisements
प्रश्न
In the given figure, AB and CD are diameters of a circle with centre O. If ∠OBD = 50°, find ∠AOC.
Advertisements
उत्तर
It is given that, AB and CD are diameter with center O and `angleOBD = 50°`
We have to find `angle AOC`
Construction: Join the point A and D to form line AD
Clearly arc AD subtends`angle ABD = 50°` at B and `angleAOD` at the centre.
Therefore,
Since CD is a straight line then
APPEARS IN
संबंधित प्रश्न
In the given figure, PQ is a chord of length 8cm of a circle of radius 5cm. The tangents at P and Q intersect at a point T. Find the length TP
O is the center of a circle of radius 8cm. The tangent at a point A on the circle cuts a line through O at B such that AB = 15 cm. Find OB
In Fig below, PQ is tangent at point R of the circle with center O. If ∠TRQ = 30°. Find
∠PRS.
If PA and PB are tangents from an outside point P. such that PA = 10 cm and ∠APB = 60°. Find the length of chord AB.
In fig. a circle touches all the four sides of quadrilateral ABCD with AB = 6cm, BC = 7cm, CD = 4cm. Find AD.
Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?
Find the length of the chord of a circle in the following when:
Radius is 13 cm and the distance from the centre is 12 cm
In the figure, O is the centre of a circle, AB is a chord, and AT is the tangent at A. If ∠AOB = 100°, then ∠BAT is equal to ______
The circumcentre of the triangle ABC is O. Prove that ∠OBC + ∠BAC = 90º.
If two chords AB and CD of a circle AYDZBWCX intersect at right angles (see figure), prove that arc CXA + arc DZB = arc AYD + arc BWC = semi-circle.
