Advertisements
Advertisements
प्रश्न
In the given figure, O is the centre of a circle and PQ is a diameter. If ∠ROS = 40°, find ∠RTS.
Advertisements
उत्तर
It is given that O is the centre and \[\angle ROS = 40° \]
We have `angle RQS = 1/2 angle ROS = 20°`
In right angled triangle RQT we have
\[\angle RQT + \angle QTR + \angle TRQ = 180° \]
\[ \Rightarrow 20° + \angle QTR + 90° = 180° \]
\[ \Rightarrow \angle QTR = 70° \]
APPEARS IN
संबंधित प्रश्न
In the given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC = 130° and ∠ECD = 20°. Find ∠BAC.
Fill in the blank:
A circle divides the plane, on which it lies, in ............ parts.
If O is the centre of the circle, find the value of x in the following figure
In the given figure, two congruent circles with centres O and O' intersect at A and B. If ∠AOB = 50°, then find ∠APB.
In the given figure, AB is a diameter of the circle such that ∠A = 35° and ∠Q = 25°, find ∠PBR.
If the given figure, AOC is a diameter of the circle and arc AXB = \[\frac{1}{2}\] arc BYC. Find ∠BOC.
The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle is
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.
A circle has radius `sqrt(2)` cm. It is divided into two segments by a chord of length 2 cm. Prove that the angle subtended by the chord at a point in major segment is 45°.
