Area of Circle

Q.

Question 3
If the circumference of a circular sheet is 154 m, find its radius. Also, find the area of the sheet. $(Take\pi =\frac{22}{7})$

Q.

Question 12

The circumference of a circle is 31.4 cm. Find the radius and the area of the circle.
$(Take\pi =3.14)$

Q.

A chord of a circle of radius$10cm$ subtends a right angle at the centre. Find the area of the corresponding:

Minor segment (Use $\pi =3.14$)

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. Both the statements are true

2. Statement 1 is true and statement 2 is false

3. Statement 1 is false and statement 2 is true

4. Both the statements are false

Q.

Two parallel lines touch a circle at points A and B respectively. If the area of the circle is 25 $\pi$ ${cm}^2$, then AB is____________.

1. 5

2. 8

3. 10

4. 25

Q.

A wire in the form of a square of side $11cm$ is bent into a circle. Find the area of the circle.

Q.

Question 108
Draw an isometric view of a cuboid $6cm\times 4cm\times 2cm$.

Q. A wire 88 cm long is bent to form a square and the same wire is bent to form a circle. Find the difference between the area of the circle and the square?

1. 126 $c{m}^2$
2. 132 $c{m}^2$
3. 136 $c{m}^2$
4. 148 $c{m}^2$

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

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. 17

Q.

Question 74

People of Khejadli village take good care of plants, trees and animals. They say that plants and animals can survive without us, but we cannot survive without them. Inspired by her elders Amrita marked some land for her pets (Camel and Ox) and plants. Find the ratio of the areas kept for animals and plants to the living area. What value depicted here?

Q.

Question 110

A circular pond is surrounded by a 2m wide circular path. If the outer circumference of circular path is 44 m, find the inner circumference of the circular path. Also, find the area of the path?

Q.

The breadth of the rectangle is 8 cm and its diagonal BD is 17 cm. Find the area of the rectangle and its perimeter.

1. 120 cm², 46 cm

2. 110 cm², 46 cm

3. 120 cm², 23 cm

4. 110 cm², 23 cm

Q.

The inner and outer radii of a circular ring are 14 cm and 21 cm respectively. Find the area of the shaded portion.

Q. Circumference of a semicircle is .

1. $\pi r+d$
2. $m\pi r+d$
3. $3\pi r+d$

Q. nta cylinder containing water stands on a table of height h .a small hole is punched in the side of cylinnder at its base .the stream of water strikes thee ground at a horizontal distance r from the able .then the depth of the cylinder isn

Q. What is the area of the largest circle in sq. cm that can be inscribed in a square of side 14 cm?

1. $136c{m}^2$
2. $154c{m}^2$
3. $162c{m}^2$
4. $178c{m}^2$

Q.

A wire in the shape of a rectangle of length 25 cm and breadth 17 cm is re-bent to form a square. What will be the measure of each side?

1. 22 cm

2. 21 cm

3. 20 cm

4. 42 cm

Q.

A circle is inscribed in a square of side length 14 cm. Find the area of the shaded region.

1. $42c{m}^2$
2. $40c{m}^2$
3. $14c{m}^2$
4. $Noneofthese$

Q.

Question 80 (i)

Rani bought a new field that is next to one she already owns in the given figure. This field is in the shape of a square of side 70 m. She makes a semi-circular lawn of maximum area in this field.

Find the area of the square field excluding the lawn.

Q.

A circle is inscribed inside a square of area $100{cm}^2$. Radius of the circle is ____________.

1. 10 cm

2. 5 cm

3. 2.5 cm

4. 20 cm

Q. To fence a circular garden, the total cost is Rs.26400 at the cost of Rs.50 per meter. Find the radius of the circle.

Q. A is the area enclosed between two radii and an .

1. sector
2. segment
3. arc
4. chord
5. quadrant

Q.

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

1. 25:36

2. 24:36

3. 25:37

4. 26:37

Q.

A circular flower bed is surrounded by a path $4m$ wide. The diameter of the flower bed is $66m$. What is the area of this path? ($\pi =3.14$)

Q. The area of a circle can be visualised by dividing the circle into equal sectors, and rearranging the sectors to form a __. The area of the rearranged figure will be equal to the area of the circle.

Q.

Question 131

A photograph of BIlliard/ Snooker table has dimensions as $\frac{1}{10}th$ of its actual size as shown in the given figure.

The portion excluding six holes each of diameter 0.5 cm needs to be polished at the rate of ₹ 200 per $m^2$. Find the cost of polishing.

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

Q. The radius of a circle is 14 cm. Find the radius of the circle whose area is double of the area of the circle.

Q.

Find the area of the shaded part in the figure given below. (Take π = 22/7)

(All the dimensions are in cm)

1. $10c{m}^2$
2. $10.5c{m}^2$
3. $11c{m}^2$
4. $11.5c{m}^2$