Word Problems on Circumference of a Circle

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

1. $62.8cm$
2. $31.4cm$
3. $62cm$
4. $60cm$

Q. A lawn sprinkler sprays water $7$ feet in every direction as it rotates. What is the circumference of the sprinkled lawn (Take $\pi =3.14$)?

1. $43.96$ feet
2. $21.42$ feet
3. $11.42$ feet

Q. An asteroid hit the earth and created a huge round crater. Scientists measured the distance around the crater as $94.2$ miles. What's the diameter?

1. $12.5$ miles
2. $30$ miles
3. $50$ miles

Q. If the minute hand of a clock is 10 cm long, then the distance covered by the tip of minute hand in 1 hour is:

1. $20\pi \text{cm}$
2. $40\pi \text{cm}$
3. $60\pi \text{cm}$
4. $80\pi \text{cm}$

Q. The circumference of a circle is approximately equal to $157$ units. Taking the value of $\pi =3.14$, what is the radius of the circle?

1. $50$ units
2. $25$ units
3. $30$ units
4. $12.5$ units

Q. The radius of a wheel is 3 m. Find the distance traveled by a point on the boundary of the wheel in 50 revolutions.

1. $300\text{m}$
2. $300\pi \text{m}$
3. $150\pi \text{m}$
4. $150\text{m}$

Q. A circular wire of radius $(2+\pi )$ cm is cut and bent into a semicircle. Find the radius of the semicircle.

1. $2\pi \text{cm}$
2. $2(2+\pi )\text{cm}$
3. $4\text{cm}$
4. $4\pi \text{cm}$

Q. The diameter of a circular garden is 50 m. If the cost of fencing it at $\$2$ per meter is $\$k\pi ,$ then the value of $k$ is

Q. Alex cut a circular shape out of a piece of paper. If the circumference of the circle is $31.4$ units, what will be its diameter $(\pi =3.14)$?

1. $20$ units
2. $10$ units
3. $15$ units
4. $62.8$ units

Q. Kate wants to put a lace on the edge of a circular table cover of diameter $1.2m$. Find the length of the lace required (Take $\pi =3.14$).

1. $4.4m$
2. $4.5m$
3. $3.77m$
4. $5m$