Circumference of a Circle and Introduction with the Number π

Q. A circular clock's minute hand is $10cm$ long. How far does the tip of the minute hand move in $1$ hour. (Take $\pi =3.14$)

1. $62.8cm$
2. $74cm$
3. $83.1cm$
4. $92cm$

Q. The radius of a circle is $5$ units. The circumference of this circle is units.

1. $10\pi$
2. $15\pi$
3. $20\pi$

Q. A fence is to be erected around a circular field. The cost of fencing would be $\$2260$ at the rate of $\$10$ per meter. Find the radius of the field $(\text{Take}\pi =\frac{22}{7})$.

1. $40m$
2. $25m$
3. $30m$
4. $36.05m$

Q.

All radii of a circle are ________

Q. A group has raised money to build a memorial fountain in the center of town. The fountain will be circular with a small statue in the center. The distance from the center of the statue to the outer edge of the fountain will be $15$ feet. On the day the fountain is complete, the group will place a ribbon around the outside of the circle to be cut in a ceremony. How many feet of ribbon will they need? Assume that the ribbon is placed $6$ inches outside of the edge of the fountain, all the way around. (Take $\pi =3.14$).

1. $90$ feet
2. $97.3$ feet
3. $92.3$ feet
4. $95$ feet

Q. The diameter of a circle is $14$ units. What is the circumference of this circle?

1. $28\pi$
2. $14\pi$
3. $7\pi$
4. $56\pi$

Q.

Find the circumference and area of the circle if radius is $2.1m$

Q. Find the circumference of the inner and outer circle as shown in the figure. Take $\pi =3.14$

1. $56.52$ m, 119.32$ m
2. $50.52$, $119.32$ m
3. $56.52$ m, $122$ m

Q. The circumference of a $14$ inches plate is


$\left(Take\pi =\frac{22}{7}\right)$

Q. $\frac{\text{C}ircumferenceoftheCircle}{Perimeterofthesquare}$
$=\frac{AreaoftheCircle}{Areaofthesquare}$

1. False
2. True

Q. A car travels $1320m$ distance in which each wheel makes $420$ complete revolutions. Find the radius of its wheel $(\text{Take}\pi =\frac{22}{7})$.

1. $30.30cm$
2. $50cm$
3. $32cm$
4. $45cm$

Q. Find the circumference of a circle of radius 5 cm.

1. $10\pi$ cm
2. $5\pi$ cm
3. $20\pi$ cm
4. $15\pi$ cm

Q. Which of the following is/are correct for a circle having diameter of 10 cm?

1. Circumference of a circle is $10\pi$ cm
2. Area of a circle is $25\pi {\text{cm}}^2$
3. Radius is 5 cm
4. Circumference of a circle is $5\pi$ cm

Q. Which of the following statements is\are correct for $\pi$?

1. $\pi$ is an irrational number.
2. $\pi$ is ratio of circumference of a circle to diameter of the circle.
3. Value of $\pi$ is 3.1415...
4. $\pi$ is a rational number.

Q.

The radius of a circle is$6.5$. What is the diameter, circumference, and area?

Q. The radius of a circular pipe is 10 cm. What length of a tape is required to wrap once around the pipe? (π = 3.14)

1. 6.8 cm
2. 31.4 cm
3. 62.8 cm
4. 13.1 cm

Q. Given that diameter of a circle is $d$ and radius of the circle is $r$. Find circumference of the circle.

1. $\pi \times d$
2. $2\pi \times r$
3. $2\pi \times d$
4. $\pi \times r$