Radii, Chord, Diameter and Circumference of the Circle

Q. If the circumference of a circle is 176 cm, find its radius.

Q.

What is the diameter of a circle whose radius is 7 cm?

Q. A chord passing through the center of the circle is called .

1. secant
2. tangent
3. diameter

Q. The diameter of a circle is 5.6 cm. Find its circumference.

Q.

If the radius of a circle is diminished by $10\%$, then its area is diminished by?

Q.

If diameter of a circle is 18 cm, then the radius is ____ cm.

1. Half of 18

2. Twice of 18

3. $18\times 18$ cm

4. 18 + 18

Q.

Number of tangents to a circle which is parallel to a secant is_____.

1. 1

2. 2

3. 3

4. Infinite

Q. State True or False.
The longest chord of the circle passes through the centre of the circle.

1. False
2. True

Q. In any circle, a chord of length equal to its radius subtends ${60}^{\circ }$ angle at the centre . State whether the statement is True or False.

1. True
2. False

Q.

Question 1

Draw a circle of radius 3.2 cm

Q.

If the height of a cylinder becomes$\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$4$}\right.$ the original height and the radius is doubled, then which of the following will be true?

1. The curved surface area of the cylinder will be doubled.

2. The curved surface area of the cylinder will remain unchanged

3. The curved surface area of the cylinder will be halved.

4. The curved surface area will be $\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$4$}\right.$ of the original curved surface.

Q.

The wheels of a monster truck are $66$ inches tall. Find the distance the monster truck travels when the tires make one $360°$ rotation.

Q. Question 30

If the radius of a circle is increased to twice its original length, how much will the area of the circle increase?

(a) 1.4 times
(b) 2 times
(c) 3 times
(d) 4 times

Q.

The diameter of a bicycle wheel is 56 cm. Find the distance travelled when it completes 250 revolutions.

Q.

Find the radius of a circle if the diameter is $35cm$

Q.

If the radius of a circle is 6.5 cm, then the measure of the longest chord of the circle is ___.

1. 12 cm

2. 13 cm

3. 9 cm

4. 8cm

Q.

If $6$ oz of dough is needed to make an $8$ inches Pizza, how much dough will be needed to make an $16$ inches Pizza of the same thickness? (Hint: Compare the areas of the Pizza tops.)

Q.

The distance covered by a wheel when it completes 20 revolutions is 110 m. Find the diameter of the wheel.

Q.

What is the radius of a circle whose diameter is 4.8 cm?

Q.

Question 97

State whether the statement is True or False.

Two circles having same circumference are congruent.

Q.

What is the measure of the angle at the centre of a circle?

Q.

What should be the angle at the center, if a circle divided into 5 equal parts?

1. 100 degrees

2. 40 degrees

3. 90 degrees

4. 72 degrees

Q.

Which instrument would you use to draw an arc?

1. Divider

2. Protractor

3. Compass

4. Ruler

Q.

The number of radii in a circle with equal length are ____.

1. 0

2. 2

3. Infinite

4. 4

Q. If the diameter of a circle is $7cm$, then its radius is:

1. $14cm$
2. $3.5cm$
3. $10.5cm$
4. none

Q.

The ___ always passes through the centre of the circle.

1. chord

2. diameter

3. arc

4. circumference

Q. A dog is tied to a pole with a rope of length $49m$. If it rotates about the pole in a circular path as away as possible from the pole, then what is the distance covered by the dog after one revolution about the pole?

1. 308 m
2. 154 m
3. 208 m
4. 616 m

Q.

A square of side 8 m is cut into two equal rectangles along its length. The rectangle is bent in the shape of a circle. Find the radius of the circle. [3 MARKS]

Q.

A rectangular field is $42m$ long and $38m$ wide. If raman runs around the field twice, find the distance he covers.

Q.

The diameter of a wheel is 15.4 cm. Calculate the distance travelled when it completes 150 revolutions.