Advertisements
Advertisements
प्रश्न
A chord is at a distance of 15 cm from the centre of the circle of radius 25 cm. The length of the chord is
विकल्प
25 cm
20 cm
40 cm
18 cm
Advertisements
उत्तर
40 cm
Explanation;
Hint:
In the right triangle OAC,
AC2 = OA2 – OC2
= 252 – 152
= (25 + 15)(25 – 15)
= 40 × 10
AC2 = 400
AC = `sqrt(400)`
= 20
Length of the chord AB = 20 + 20 = 40 cm.
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
Write True or False. Give reason for your answer.
Line segment joining the centre to any point on the circle is a radius of the circle.
Write True or False. Give reasons for your answers.
A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
true or false
The degree measure of an arc is the complement of the central angle containing the arc.
Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?
Equal circles with centres O and O' touch each other at X. OO' produced to meet a circle with centre O', at A. AC is a tangent to the circle whose centre is O. O'D is perpendicular to AC. Find the value of\[\frac{DO'}{CO}\]
If O is the centre of the circle, find the value of x in each of the following figures
The tangent to the circumcircle of an isosceles triangle ABC at A, in which AB = AC, is parallel to BC.
If ABC is an equilateral triangle inscribed in a circle and P be any point on the minor arc BC which does not coincide with B or C, prove that PA is angle bisector of ∠BPC.
Which statement correctly defines a chord?
