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
In the fig two tangents AB and AC are drawn to a circle O such that ∠BAC = 120°. Prove that OA = 2AB.
Fill in the blank:
A point whose distance from the centre of a circle is greater than its radius lies in ..................... of the circle.
true or false
A circle is a plane figure.
true or false
The degree measure of an arc is the complement of the central angle containing the arc.
In the given figure, common tangents AB and CD to the two circles with centres O1 and O2 intersect at E. Prove that AB = CD.
In the given figure, O is the centre of the circle. If ∠BOD = 160°, find the values of x and y.
If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle is
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.
From an external point P , tangents PA = PB are drawn to a circle with centre O . If \[\angle PAB = {50}^o\] , then find \[\angle AOB\]
In the given figure, OQ : PQ = 3.4 and perimeter of Δ POQ = 60 cm. Determine PQ, QR and OP.
In the above figure, seg AB is a diameter of a circle with centre P. C is any point on the circle. seg CE ⊥ seg AB. Prove that CE is the geometric mean of AE and EB. Write the proof with the help of the following steps:
a. Draw ray CE. It intersects the circle at D.
b. Show that CE = ED.
c. Write the result using the theorem of the intersection of chords inside a circle. d. Using CE = ED, complete the proof.
If O is the centre of the circle, find the value of x in each of the following figures
Use the figure given below to fill in the blank:
EF is a ______ of the circle.
Draw a circle of diameter 7 cm. Draw two radii of this circle such that the angle between these radii is 90°. Shade the minor sector obtained. Write a special name for this sector.
In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?
Circles with centres A, B and C touch each other externally. If AB = 3 cm, BC = 3 cm, CA = 4 cm, then find the radii of each circle.
If O is the center of the circle in the figure alongside, then complete the table from the given information.
The type of arc
| Type of circular arc | Name of circular arc | Measure of circular arc |
| Minor arc | ||
| Major arc |
In the adjoining figure ‘O’ is the center of the circle, ∠CAO = 25° and ∠CBO = 35°. What is the value of ∠AOB?
If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.
Assertion (A): If the circumference of a circle is 176 cm, then its radius is 28 cm.
Reason (R): Circumference = 2π × radius of a circle.
