Area of Circle

Q. The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m.

1. 600
2. 700
3. 850
4. 500

Q.

The shaded portion in the adjoining figure shows a circular path enclosed by two concentric circles. If the inner circumference of the path is 176 m and the uniform width of the circular path is 3.5 m, find the area of the path.

1. 654.5 $m^2$​
2. 754.5 $m^2$​
3. 854.5 $m^2$​
4. 554.5 $m^2$​

Q.

Area of a circular field is 3850 $c{m}^2$. What is the perimeter of that field?
$(Take\pi =\frac{22}{7})$

1. 385 cm

2. 192.5 cm

3. 150 cm

4. 220 cm

Q. Find the area of the following circle, given that radius = 5 cm $(Take\pi =\frac{22}{7})$

Q.

The capacity of your cousin is one roti when the radius is 4 cm. The__ of the rotis made by your mother must be ${\frac{1}{4}}^{th}$ so that your cousin can eat 4 rotis.

Q.

A circle is inscribed in a square of side 14 cm such that the circle touches each side of the square. Find the remaining area.( Use π=3.14)

1. $Noneofthese$
2. $42.14c{m}^2$
3. $40.15c{m}^2$
4. $14c{m}^2$

Q. Twenty dots will cover one square inch. If a floor measures $5$ feet by $2.5$ feet, how many dots does it take to cover the floor?

1. $15,000$
2. $36,000$
3. $45,000$
4. $1,800$

Q. Which of the following does not have a perimeter?

Q.

Puja has two ropes measuring 5 m and 6 m. She ties a goat at point A with the 5 m rope and ties another goat at point B with the 6 m rope. Find out the ratio of areas grazed at point A and point B. The goats can only move inside the field.

1. 25:36

2. 24:36

3. 25:37

4. 26:37

Q. If circumference and area of a circle are numerically equal, how long is its diameter?

1. 2
2. 8
3. $2\pi$
4. 4

Q.

A young cousin of yours had come for dinner at your place. He could have only one roti whereas your capacity is four rotis. Assume that the rotis are perfectly circular with radius $4cm$. But your cousin wanted to eat as many rotis as you could eat. So, your mum reduced the radius of his rotis to $\_\_\_\_\_$.

1. 3 cm

2. 3.5 cm

3. 2 cm

4. 1 cm

Q.

The figure shows the cracker and the circle formed by the sparkles of the cracker. Find the area of the ground it covered if the sparkle formed was of 28 cm from the cracker.

1. 2156 cm²

2. 2464 cm²

3. 4259 cm²

4. 4258 cm²

Q.

Statement 1: The area of a quarter circle is one-fourth of that of a circle with same radius.

Statement 2: The circumference of a quarter circle is one-fourth of that of a circle with same radius.

1. Statement 1 is true and statement 2 is false

2. Statement 1 is false and statement 2 is true

3. Both the statements are false

4. Both the statements are true

Q.

The area of a circle is $\pi d^2$, then the radius of the circle is $\_\_\_\_$.

1. $d$

2. $\frac{d}{2}$

3. $2d$

4. $d^2$

Q.

What is the area of a pizza that has a diameter of 14 inches? (Take pi = 22/7)

1. 87.92 Square Inches

2. 185.43

3. 153.86 Square Inches

4. 97.82 Square Inches

Q.

Find the area of a circle with the indicated dimensions.

Use $3.14$ or $\frac{22}{7}$ for $\mathrm{\pi }$, Radius $=8.5m$

Q. How many plants (approximately) will be there in a circular bed whose outer edge measures 30 cm allowing $4c{m}^2$ for each plant?

1. 750
2. 24
3. 120
4. 18

Q. A circle is cut into 16 equal sectors and the sectors are arranged as shown below.


The given figure can be visualised as

1. Square
2. Hexagon
3. Rectangle
4. None of these

Q. Find the area of the circle of radius $3.458$ cm up to correct significant figures.