Advertisements
Advertisements
प्रश्न
The diameter of the circle is 52 cm and the length of one of its chord is 20 cm. Find the distance of the chord from the centre
Advertisements
उत्तर

Length of the chord = 20 cm
AC = `20/2`
= 10 cm
In ΔOAC, OC2 = OA2 – AC2
= 262 – 102
= (26 + 10)(26 – 10)
= 36 × 16
OC = `sqrt(30 xx 16)`
= 6 × 4 cm
= 24 cm
Distance of the chord from the centre = 24 cm.
APPEARS IN
संबंधित प्रश्न
n Fig. 2, PQ and PR are two tangents to a circle with centre O. If ∠QPR = 46°, then ∠QOR equals:

(A) 67°
(B) 134°
(C) 44°
(D) 46°
In the given figure, PQ and RS are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersects PQ at A and RS at B. Prove that ∠AOB = 90º
Find the length of a tangent drawn to a circle with radius 5cm, from a point 13 cm from the center of the circle.
In the given figure, if arc AB = arc CD, then prove that the quadrilateral ABCD is an isosceles– trapezium (O is the centre of the circle).

A quadrilateral is drawn to circumscribe a circle. Prove that the sums of opposite sides are equal ?
In the given figure, ΔABC is an equilateral triangle. Find m∠BEC.

If \[d_1 , d_2 ( d_2 > d_1 )\] be the diameters of two concentric circle s and c be the length of a chord of a circle which is tangent to the other circle , prove that\[{d_2}^2 = c^2 + {d_1}^2\].
In Fig., chords AB and CD of the circle intersect at O. AO = 5 cm, BO = 3 cm and CO = 2.5 cm. Determine the length of DO.

A point P is 10 cm from the center of a circle. The length of the tangent drawn from P to the circle is 8 cm. The radius of the circle is equal to ______
Which statement correctly defines a chord?
