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In the following figure, O is the centre of the circle and the points P, Q and R lie on it. If the angle POR is 96Â°, then what is the angle QPR?
The angle subtended on any part of the circle is half the angle subtended at the centre of the circle.
(1)
In the following figure, O is the centre of the circle and the points E, F and G lie on it. If the angles GOE and OFE are 100Â° and 16Â° respectively, then what is the angle GFO?
The angle subtended on any part of the circle is half the angle subtended at the centre of the circle.
(1)
In the following figure, O is the centre of the circle and the points E, F and G lie on it. If the angle GFE is 83Â°, then what is the reflex angle GOE?
The angle subtended on the centre of the circle is double the angle subtended at any point on the circle.
(1)
In the following figure, points P, Q, R and S lie on a circle. If the angle PQS is 67Â°, then what is the angle PRS?
Angles drawn in the same segment of a circle are equal in measure.
In the following figure, points A, B, C and D lie on a circle. If the angles ABD and CAD are 43Â° and 65Â°, then what is the angle CDA?
Angles drawn in the same segment of a circle are equal in measure. Sum of all angles of a triangle is 180Â°.
(1)
In the following figure, points E, F, G and H lie on a circle. P is the point of intersection of the lines FH and GE. If the angles EFH and GPH are 41Â° and 93Â°, then what is the angle GHP?
Angles drawn in the same segment of a circle are equal in measure. Sum of all angles of a triangle is 180Â°.
(1)
PQRS is a cyclic quadrilateral. If the angle QPS are is 108Â°, then what is the angle QRS?
Sum of opposite angles of a cyclic quadrilateral is 180Â°.
(1)
ABCD is a cyclic quadrilateral. Triangle ADC is an isosceles triangle with AD = CD. If the angle ABC are is 96Â°, then what is the angle ACD?
Sum of opposite angles of a cyclic quadrilateral is 180Â°.
(1)
Angles opposite to equal sides are equal and sum of all three angles of a triangle is 180Â°.
(2)
EFGH is a cyclic quadrilateral. What is the value of k?
Sum of opposite angles of a cyclic quadrilateral is 180Â°.
(1)
In the following figure, points A, B and C lie on a circle and O is the centre of the circle. If the angle ABC is 47Â°, then what is the angle ACB?
Angles drawn in a semicircle is a right angle. Sum of all angles of a triangle is 180Â°.
(1)
In the following figure, points P, Q, R and S lie on a circle and O is the centre of the circle. If the angles QPR and and PRS are 52Â° and 62Â° respectively, then what is the angle QPS?
Angles drawn in a semicircle is a right angle. Sum of all angles of a triangle is 180Â°.
(1)
In the following figure, points P, Q, R and S lie on a circle and O is the centre of the circle. If the angle QRS is 126Â° respectively, then what is the angle QSP?
Angles drawn in a semicircle is a right angle. Sum of opposite angles of a quadrilateral is 180Â°.
(1)
Sum of all angles of a triangle is 180Â°.
(2)
In the following figure, AB is a chord of the circle and O is the centre of the circle. Also OC is perpendicular bisector of AB. If OC = 8 cm and AB = 30 cm respectively, then what is the radius of the circle?
(1)
Radius of the circle is 17 cm.
In the following figure, AB is a chord of the circle and O is the centre of the circle. Also OC is perpendicular bisector of AB. If OC = 20 cm and OA = 29 cm respectively, then what is the length of the chord AB?
(1)
Length of the chord AB is 42 cm.
In the following figure, AB is a chord of the circle and O is the centre of the circle. Also OC is perpendicular bisector of AB. If the radius of the circle is 10 cm and the length of the chord AB is 16 cm, then what is the length of OC?
(1)
In the following figure, AB and CD are chords of a circle. AB = 18 cm, PO = 12 cm and OQ = 9 cm, then what is the length of CD?
(1)
In the following figure, AB and CD are chords of a circle. The chords AB and CD are at equal distance from the centre O. If the length of chord AB is 16 cm then what is the length of the chord CD?
The chords which are at equal distance from the centre are equal in length. Therefore, CD is also 16 cm long.
In the following figure, AB and CD are chords of a circle. The chords AB and CD are equal in length. If the chord AB is at 12 cm from the centre of the circle then what is the length of OT?
Equal chords are at equal distance from the centre. Therefore, OT is also 12 cm long.
In the following figure, two circles are concentric. OC is the perpendicular bisector of AB. If the radius of the small circle is 8 cm and the radius of the big circle is 17 cm, then what is the length of the chord AB?
(1)
In the following figure, two circles are concentric. OC is the perpendicular bisector of AB. If the radius of the small circle is 20 cm and the length of the chord AB is 42 cm, then what is the radius of the small circle?
(1)
Collection of those points in a plane that are at a given constant distance from a given fixed point in the plane is called a
Collection of those points in a plane that are at a given constant distance from a given fixed point in the plane is called a circle
Interior of the circle lies
Interior of the circle lies inside the circle.
Exterior of the circle lies
Exterior of the circle lies outside the circle.
The centre of a circle lies
The centre of a circle lies inside the circle.
A line segment joining any two points of a circle is called
A line segment joining any two points of a circle is called chord.
A chord passing through the centre of a circle is known as
A chord passing through the centre of a circle is known as diameter.
The longest chord of a circle is called
The longest chord of a circle is called diameter.
A point, whose distance from the centre of a circle is greater than its radius lies
A point, whose distance from the centre of a circle is greater than its radius lies outside the circle.
In how many parts a circle divides the plane,on which it lies?
A circle divides the plane,on which it lies, in three parts.
Which of the following is true?
All of the above are correct.
Which circles are said to be concentric circles?
Concentric circles have same centre and different radii.
Which of the following is NOT true?
A circle has infinite number of equal chords
The collection of points of the circle that lie on and also inside a central angle is called
The collection of points of the circle that lie on and also inside a central angle is called a minor arc.
Which of the following is NOT true?
Degree measure of a semicircle is 180Â°
The collection of points of the circle that lie on or outside a central angle is called
The collection of points of the circle that lie on or outside a central angle is called major arc.
Length of the fine thread which just covers the arc completely is called
Length of the fine thread which just covers the arc completely is called length of an arc.
A continuous piece of circle is called
A continuous piece of circle is called arc of a circle.
Which of the following is NOT true?
Both a and b are correct.
What are the properties of concentric circles?
All of the above are correct.
How many circles can pass through given three given points?
Only three circles can pass through given three given points.
Equal chords of a circle subtends___ angle at the centre.
Equal chords of a circle subtends equal angle at the centre.
Two circles can intersect each other at how many points?
All of the above are correct.
Equal chords of a circle are equidistant from
Equal chords of a circle are equidistant from the centre.
Angles in the same segment of a circle are
Angles in the same segment of a circle are equal.
Which of the following is true?
All of the above are correct.
Which of the following is true?
Both a and b are correct.
The region between the chord and its corresponding arc is called
The region between the chord and its corresponding arc is called sector.
Which of the following is NOT true?
Both a and b are correct.
An arc is a ___ when its ends are the ends of a diameter.
An arc is a semicircle when its ends are the ends of a diameter.
Angles with end points of a diameter of a circle are
Angles with end points of a diameter of a circle are right angles.