Area of Circle

Q.

The area of a circle is $1386$ sq. cm, find its circumference.

Q. If the circumference of a circular sheet is 176m, find it's area.

1. 2664$m^2$
2. 2464$m^2$
3. 2986$m^2$
4. 1624$m^2$

Q. The perimeter of a circle with a diameter = '14 cm' is equal to 88 cm.

1. True
2. False

Q. Find the area of shaded region, if ABCD is a square having side equal to 14 cm, which is also equal to the diameter of circle.

1. 42 $c{m}^2$
2. 154 $c{m}^2$
3. 196 $c{m}^2$
4. 350 $c{m}^2$

Q.

Find the radius and area of a circle, whose circumference is :

(i) 132 cm

(ii) 22 m

Q. Find the area of circle whose radius is 7 cm.

1. 77 $c{m}^2$
2. 154 $c{m}^2$
3. 22 $c{m}^2$
4. 49 $c{m}^2$

Q.

Find the area of the shaded part in the figure given below. [Take $\pi =\frac{22}{7}$ and all the dimensions are in $cm$]

1. 11

2. 11.5

3. 10.5

4. 9.5

Q.

There is a path of uniform width 7 m round and outside a circular garden of diameter 210 m. Find the area of the path.

Q.

Find the area of the shaded portion in each of the following diagrams :

Q.

2. Find the radius and circumference of a circle, whose area is :

(i) 154 $c{m}^2$ (ii) 6.16 $m^2$

Q.

In the following figure, a rectangle ABCD enclosed three circles. If BC =14 cm, find the area of the shaded portion (Take $\pi =3\frac{1}{7})$

Q.

Find the area of a flat circular ring formed by two concentric circles (circles with same centre) whose radii are 9 cm and 5 cm.

Q.

The circumference of a circular table is 88 m. Find its area.

Q.

A circular field of radius 105 m has a circular path of uniform width of 5 m along and inside its boundary. Find the area of the path.

Q.

A 21m deep well with diameter 10m is dug up and the earth from digging is spread evenly to form a platform 22m*15m . Determine the height of the platform.

Q. Find the area of the shaded portion in the following figures

Q.

Question 94

Find the area enclosed by the following figure:

Q. Question 9
A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length 1 m.

Q.

Question 129

A dinner plate is in the form of a circle. A circular region encloses a beautiful design as shown in the given figure. The inner circumference is 352 mm and outer is 396 mm. Find the width of the circular design.

Q. If area of the circle is 12.56 $c{m}^2$, then find its diameter. (use $\pi$ = 3.14)

1. 1.57 cm
2. 2 cm
3. 3.14 cm
4. 4 cm

Q. The area of a circle is "pi" square units, then the radius of the circle is _____.

1. 14 units
2. 3 units
3. 1 units
4. 3.5 units

Q.

Area of a circle whose radius is $7cm$ is

1. $164c{m}^2$

2. $154c{m}^2$

3. $90c{m}^2$

4. $100c{m}^2$

Q. If in the rectangle ABCD, AB is a diameter of semicircle and BC is its radius equal to 7 cm. Find the area of shaded region.

1. 11 cm
2. 14 cm
3. 21 cm
4. 22 cm

Q. Question 36

If the radius of a circle is tripled, the area becomes

(a) 9 times
(b) 3 times
(c) 6 times
(d) 30 times

Q.

The radii of the inner and outer circumferences of a circular -rinning -track are 63 m and 70 m respectively. Find:

(i) The area of the track

(ii) The difference between the lengths of the two circumference of the track

Q.

Find the area of the shaded portion.

1. 256 m²

2. 16 m²

3. 32 m²

4. None of the above

Q. Find the area of shaded region, if AC and BC are diameters of length 28 cm and 14 cm respectively.

1. 77 $c{m}^2$
2. 154 $c{m}^2$
3. 231 $c{m}^2$
4. 462 $c{m}^2$

Q. The area of a circle is given by the expression- (πx²+10πx+25π) Find the radius of the circle.

Q. Question 35

The area of a square is $100c{m}^2$. The circumference (in cm) of the largest circle cut of it is

(a) $5\pi$
(b) $10\pi$
(c) $15\pi$
(d) $20\pi$

Q.

The area of a semicircle of radius $4r$ is

1. $8{\mathrm{\pi r}}^2$

2. $4{\mathrm{\pi r}}^2$

3. $12{\mathrm{\pi r}}^2$

4. $2{\mathrm{\pi r}}^2$