Advertisements
Advertisements
प्रश्न
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) |
| 1760 cm |
Advertisements
उत्तर
Given: Circumference C = 1760 cm
2πr = 1760
`2 xx 22/7 xx "r"` = 1760
r = `(1760 xx 7)/(2 xx 22)`
= `(160 xx 7)/(2 xx 2)`
= 40 × 7
= 280 cm
diameter = 2 × r
= 2 × 280
= 560 cm
Tabulating the results
| radius (r) | diameter (d) | Circumference (C) |
| 280 cm | 560 cm | 1760 cm |
APPEARS IN
संबंधित प्रश्न
Points A(–1, y) and B(5, 7) lie on a circle with centre O(2, –3y). Find the values of y. Hence find the radius of the circle.
Prove that in two concentric circles, the chord of the larger circle which touches the smaller circle, is bisected at the point of contact.
In fig., O is the centre of the circle, PA and PB are tangent segments. Show that the quadrilateral AOBP is cyclic.
In fig., circles C(O, r) and C(O’, r/2) touch internally at a point A and AB is a chord of the circle C (O, r) intersecting C(O’, r/2) at C, Prove that AC = CB.
A chord PQ of a circle of radius 10 cm substends an angle of 60° at the centre of circle. Find the area of major and minor segments of the circle.
A point P is 26 cm away from O of circle and the length PT of the tangent drawn from P to the circle is 10 cm. Find the radius of the circle.
In Fig. 4, a circle inscribed in triangle ABC touches its sides AB, BC and AC at points D, E and F respectively. If AB = 12 cm, BC = 8 cm and AC = 10 cm, then find the lengths of AD, BE and CF.
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.
An equilateral triangle ABC is inscribed in a circle with centre O. The measures of ∠BOCis
AB is a chord of a circle with centre O , AOC is a diameter and AT is the tangent at A as shown in Fig . 10.70. Prove that \[\angle\]BAT = \[\angle\] ACB.
Use the figure given below to fill in the blank:
R is the _______ of the circle.
In the table below, write the names of the points in the interior and exterior of the circle and those on the circle.
| Diagram | Points in the interior of the circle |
Points in the exterior of the circle |
Points on the circle |
 |
The ______________ is the longest chord of a circle
Find the diameter of the circle
Radius = 8 cm
In figure, O is the centre of a circle, chord PQ ≅ chord RS. If ∠POR = 70° and (arc RS) = 80°, find
- m(arc PR)
- m(arc QS)
- m(arc QSR)
C(O, r1) and C(O, r2) are two concentric circles with r1 > r2 AB is a chord of C(O, r1) touching C(O, r2) at C then ______
In the adjoining figure, Δ ABC is circumscribing a circle. Then, the length of BC is ______
In the adjoining figure ‘O’ is the center of the circle, ∠CAO = 25° and ∠CBO = 35°. What is the value of ∠AOB?
In the given figure, AB is the diameter of the circle. Find the value of ∠ACD.
A circle of radius 3 cm with centre O and a point L outside the circle is drawn, such that OL = 7 cm. From the point L, construct a pair of tangents to the circle. Justify LM and LN are the two tangents.
