Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
Two tangent segments PA and PB are drawn to a circle with center O such that ∠APB = 120°. Prove that OP = 2AP
true or false
A chord of a circle, which is twice as long is its radius is a diameter of the circle.
In the below fig. O is the centre of the circle. If ∠APB = 50°, find ∠AOB and ∠OAB.

In the given figure, AB is a side of a regular six-sided polygon and AC is a side of a regular eight-sided polygon inscribed in the circle with centre O. Calculate the sizes of:
- ∠AOB,
- ∠ACB,
- ∠ABC.

In the given figure, an isosceles triangle ABC, with AB = AC, circumscribes a circle. Prove that point of contact P bisects the base BC.

In the given figure, two tangents RQ and RP are drawn from an external point R to the circle with centre O. If ∠PRQ = 120°, then prove that OR = PR + RQ.

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.

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
Find the area of a circle of radius 7 cm.
Construct a triangle ABC with AB = 4.2 cm, BC = 6 cm and AC = 5cm. Construct the circumcircle of the triangle drawn.
Construct a triangle PQR with QR = 5.5 cm, ∠Q = 60° and angle R = 45°. Construct the circumcircle cif the triangle PQR.
State, if the following statement is true or false:
The diameters of a circle always pass through the same point in the circle.
Draw circle with the radii given below.
2 cm
The chord of length 30 cm is drawn at the distance of 8 cm from the centre of the circle. Find the radius of the circle
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) |
| 15 cm |
Find the radius of the circle
Diameter = 30 cm
Find the radius of the circle
Diameter = 76 cm
If d1, d2 (d2 > d1) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle, then ______
Let s denote the semi-perimeter of a triangle ABC in which BC = a, CA = b, AB = c. If a circle touches the sides BC, CA, AB at D, E, F, respectively, prove that BD = s – b.
A 7 m broad pathway goes around a circular park with a circumference of 352 m. Find the area of road.
