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
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
In Fig. 2, AB is the diameter of a circle with centre O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ.
In Fig. 4, an isosceles triangle ABC, with AB = AC, circumscribes a circle. Prove that the point of contact P bisects the base BC.
In Fig. 5, the chord AB of the larger of the two concentric circles, with centre O, touches the smaller circle at C. Prove that AC = CB.
In a cyclic quadrilateral ABCD, if m ∠A = 3 (m ∠C). Find m ∠A.
A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre of the circle is
ABC is a triangle with B as right angle, AC = 5 cm and AB = 4 cm. A circle is drawn with Aas centre and AC as radius. The length of the chord of this circle passing through C and B is
In the given figure, if ∠ABC = 45°, then ∠AOC =
In the given figure, chord EF || chord GH. Prove that, chord EG ≅ chord FH. Fill in the blanks and write the proof.
A part of circumference of a circle is called as _______
Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).
radius (r) | diameter (d) | Circumference (C) |
24 m |