Q2 of 63 Page 156

In a circle of radius 13 cm a chord of length 24 cm has been drawn. The distance of the chord from the centre of the circle is—

We know that Length of chord,


Where r = radius of circle, d = distance of chord from centre


⇒


⇒


Squaring on both sides,


⇒


⇒ 576 = 4 (169 – d2)


⇒576/ 4 = 169 – d2


⇒ 144 = 169 – d2


⇒ d2 = 169 – 144


⇒ d2 = 25


∴ Distance of chord, d = 5 cm

More from this chapter

All 63 →
7

Prove that the quadrilateral formed by the bisectors of the angles of a cyclic quadrilateral is also a cyclic quadrilateral.

 1

The length of the chord situated at a distance of 6 cm from the centre of a circle of radius 10 cm is—

 3

The degree measure of minor arc is—

 4

The degree measure of major arc is—