EASY
Earn 100

Define the secant of a circle. Write the formula

Important Questions on Circles

MEDIUM
A, B and C are three points on a circle such that the angles subtended by the chord AB and AC at the centre O are 110° and 130°, respectively. Then the value of BAC is:
EASY
Which among the following statements are certainly correct?
 
 
EASY
Two circles of the same radius intersect each other at P and Q. If the length of the common chord is 30 cm and the distance between the centres of the two circles is 40 cm, then what is the radius (in cm) of the circles?
EASY
A wheel covers a distance of 1100 cm in one round. The daimeter of the wheel is:
EASY
What is called a line intersecting a circle at two points.
EASY
A circular disc of area 0.64π m2 rolls down a length of 1.408 km. The number of revolutions it makes is: (Take π=227)
MEDIUM

What is the circumference of the largest circle which can be inscribed in a square of side 14 cm? (π=227)

HARD
Two circles of radii 15 cm and 10 cm intersect each other and the length of their common chord is 16 cm. What is the distance (in cm) between their centres?
MEDIUM
The point of concurrence of three interior angle bisectors of a triangle is called 
EASY
Largest chord of the circle is :
EASY
In a circle, chords PQ and TS are produced to meet at R. If RQ=14.4 cm, PQ=11.2 cm, and SR=12.8 cm, then the length of the chord TS is:
EASY
The chords AB and CD of a circle interest at E. If AE=12 cm, BE=20.25 cm and CE=3DE, then the length (in cm) of CE is:
HARD
In a circle AB is a diameter and CD is a chord. AB and CD produced meet at a point P, outside the circle.If PD=15.3 cm, CD=11.9 cm and AP=30.6 cm, then the radius of the circle is :
MEDIUM
In a circle with centre OAD is diameter and AC is a chord. Point B is on AC such that OB=7 cm and OBA=60°. If DOC=60°, then what is the length of BC?
EASY
The sides of a triangle are 56 cm, 90 cm and 106 cm The circumference of its circumcircle is:
MEDIUM
PA and PB are two tangents from a point P outside the circle with centre O at the points A and B on it. If APB=130°, then OAB is equal to:
HARD
Consider a semicircle of radius 1 unit constructed on the diameter AB, and let O be its centre. Let C be a point on AO such that  AC : CO=2 : 1. Draw CD perpendicular to AO  with D on the semicircle. Draw OE perpendicular to AD with E on AD. Let OE and CD intersects at H. Then DH equals
EASY
There is a line in the plane of a circle. There are _____ maximum possibilities about the intersection of the line and the circle.
MEDIUM
AB and CD chords of a circle which intersect each other externally at P. If AB=4 cm, BP=5 cm and PD=3 cm, then find CD.