Advertisements
Advertisements
प्रश्न
The center of a circle is at point O and its radius is 8 cm. State the position of a point P (point P may lie inside the circle, on the circumference of the circle, or outside the circle), when:
(a) OP = 10.6 cm
(b) OP = 6.8 cm
(c) OP = 8 cm
Advertisements
उत्तर
(a) Draw circle each of radius 8 cm. With centre O In the following figure (i) draw OP = 10.6 cm
(i)

(ii)

(iii)

We see that point P lies outside the circle as OP > radius of the circle
(b) In the above figure (ii) OP = 6.8 cm. We see that P lies inside the circle as OP < radius of the circle.
(c) In the above figure, OP = 8 cm. We see that P lies on the circle as OP = radius of the circle.
APPEARS IN
संबंधित प्रश्न
A chord of a circle of radius 10 em subtends a right angle at its centre. The length of the chord (in em) is
`(A) 5sqrt 2`
`(B) 10 sqrt2`
`(C)5/sqrt2`
`(D) 10sqrt 3`
In the fig two tangents AB and AC are drawn to a circle O such that ∠BAC = 120°. Prove that OA = 2AB.
In the given figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm such that the segments BD and DC into which BC is divided by the point of contact D, are of lengths 6 cm and 9 cm respectively. If the area of ΔABC = 54 cm2 then find the lengths of sides AB and AC.

A is a point at a distance 13 cm from the centre O of a circle of radius 5 cm. AP and AQ are the tangents to the circle at P and Q. If a tangent BC is drawn at a point R lying on the minor arc PQ to intersect AP at B and AQ at C, find the perimeter of the ∆ABC.
Find the length of the chord of a circle in the following when:
Radius is 13 cm and the distance from the centre is 12 cm
Find the length of the chord of a circle in the following when:
Radius is 6.5 cm and the distance from the centre is 2.5 cm
In the figure, O is the centre of a circle and diameter AB bisects the chord CD at a point E such that CE = ED = 8 cm and EB = 4 cm. The radius of the circle is
AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is ______.
A figure is in the form of rectangle PQRS having a semi-circle on side QR as shown in the figure. Determine the area of the plot.
The circumcentre of a triangle is the point which is ______.
